Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 13.1, Problem 45HP
To determine

To find: Why cos2θ+sin2θ=1 Ps classified in this way?

Expert Solution & Answer
Check Mark

Answer to Problem 45HP

Because , it gives all relationship between angles and sides on a right angle.

Explanation of Solution

Given information:

We know that, Pythagoras theorem and cos2θ+sin2θ=1

Calculation:

In ΔABC , using Pythagoras,

  sinθ=cb,cosθ=ab

  a2+c2=b2 (from Pythagoras)

  c=bsinθ,a=bcosθ (bcosθ) 2 + (bsinθ) 2 = b 2 b2cos2θ+b2cos2θ=b2

Dividing by b2

  b2cos2θb2+b2sin2θb2=b2cos2θ+sin2θ=1

It hold important relation between sides and angles of right triangle, therefore this way.

Chapter 13 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 13.1 - Prob. 6CYUCh. 13.1 - Prob. 7CYUCh. 13.1 - Prob. 8CYUCh. 13.1 - Prob. 9PPSCh. 13.1 - Prob. 10PPSCh. 13.1 - Prob. 11PPSCh. 13.1 - Prob. 12PPSCh. 13.1 - Prob. 13PPSCh. 13.1 - Prob. 14PPSCh. 13.1 - Prob. 15PPSCh. 13.1 - Prob. 16PPSCh. 13.1 - Prob. 17PPSCh. 13.1 - Prob. 18PPSCh. 13.1 - Prob. 19PPSCh. 13.1 - Prob. 20PPSCh. 13.1 - Prob. 21PPSCh. 13.1 - Prob. 22PPSCh. 13.1 - Prob. 23PPSCh. 13.1 - Prob. 24PPSCh. 13.1 - Prob. 25PPSCh. 13.1 - Prob. 26PPSCh. 13.1 - Prob. 27PPSCh. 13.1 - Prob. 28PPSCh. 13.1 - Prob. 29PPSCh. 13.1 - Prob. 30PPSCh. 13.1 - Prob. 31PPSCh. 13.1 - Prob. 32PPSCh. 13.1 - Prob. 33PPSCh. 13.1 - Prob. 34PPSCh. 13.1 - Prob. 35PPSCh. 13.1 - Prob. 36PPSCh. 13.1 - Prob. 37PPSCh. 13.1 - Prob. 38PPSCh. 13.1 - Prob. 39PPSCh. 13.1 - Prob. 40PPSCh. 13.1 - Prob. 41PPSCh. 13.1 - Prob. 42HPCh. 13.1 - Prob. 43HPCh. 13.1 - Prob. 44HPCh. 13.1 - Prob. 45HPCh. 13.1 - Prob. 46HPCh. 13.1 - Prob. 47HPCh. 13.1 - Prob. 48HPCh. 13.1 - Prob. 49HPCh. 13.1 - Prob. 50HPCh. 13.1 - Prob. 51STPCh. 13.1 - Prob. 52STPCh. 13.1 - Prob. 53STPCh. 13.1 - Prob. 54STPCh. 13.1 - Prob. 55SRCh. 13.1 - Prob. 56SRCh. 13.1 - Prob. 57SRCh. 13.1 - Prob. 58SRCh. 13.1 - Prob. 59SRCh. 13.1 - Prob. 60SRCh. 13.1 - Prob. 61SRCh. 13.1 - Prob. 62SRCh. 13.1 - Prob. 63SRCh. 13.1 - Prob. 64SRCh. 13.1 - Prob. 65SCh. 13.1 - Prob. 66SCh. 13.1 - Prob. 67SCh. 13.2 - Prob. 1GPCh. 13.2 - Prob. 2GPCh. 13.2 - Prob. 3GPCh. 13.2 - Prob. 1CYUCh. 13.2 - Prob. 2CYUCh. 13.2 - Prob. 3CYUCh. 13.2 - Prob. 4CYUCh. 13.2 - Prob. 5CYUCh. 13.2 - Prob. 6CYUCh. 13.2 - Prob. 7CYUCh. 13.2 - Prob. 8PPSCh. 13.2 - Prob. 9PPSCh. 13.2 - Prob. 10PPSCh. 13.2 - Prob. 11PPSCh. 13.2 - Prob. 12PPSCh. 13.2 - Prob. 13PPSCh. 13.2 - Prob. 14PPSCh. 13.2 - Prob. 15PPSCh. 13.2 - Prob. 16PPSCh. 13.2 - Prob. 17PPSCh. 13.2 - Prob. 18PPSCh. 13.2 - Prob. 19PPSCh. 13.2 - Prob. 20PPSCh. 13.2 - Prob. 21PPSCh. 13.2 - Prob. 22PPSCh. 13.2 - Prob. 23PPSCh. 13.2 - Prob. 24PPSCh. 13.2 - Prob. 25PPSCh. 13.2 - Prob. 26PPSCh. 13.2 - Prob. 27PPSCh. 13.2 - Prob. 28PPSCh. 13.2 - Prob. 29PPSCh. 13.2 - Prob. 30PPSCh. 13.2 - Prob. 31PPSCh. 13.2 - Prob. 32PPSCh. 13.2 - Prob. 33PPSCh. 13.2 - Prob. 34PPSCh. 13.2 - Prob. 35PPSCh. 13.2 - Prob. 36PPSCh. 13.2 - Prob. 37PPSCh. 13.2 - Prob. 38PPSCh. 13.2 - Prob. 39PPSCh. 13.2 - Prob. 40PPSCh. 13.2 - Prob. 41PPSCh. 13.2 - Prob. 42PPSCh. 13.2 - Prob. 43PPSCh. 13.2 - Prob. 44PPSCh. 13.2 - Prob. 45PPSCh. 13.2 - Prob. 46PPSCh. 13.2 - Prob. 47PPSCh. 13.2 - Prob. 48PPSCh. 13.2 - Prob. 49PPSCh. 13.2 - Prob. 52HPCh. 13.2 - Prob. 53HPCh. 13.2 - Prob. 54HPCh. 13.2 - Prob. 55HPCh. 13.2 - Prob. 56HPCh. 13.2 - Prob. 57HPCh. 13.2 - Prob. 58HPCh. 13.2 - Prob. 59HPCh. 13.2 - Prob. 60STPCh. 13.2 - Prob. 61STPCh. 13.2 - Prob. 62STPCh. 13.2 - Prob. 63STPCh. 13.2 - Prob. 64SRCh. 13.2 - Prob. 65SRCh. 13.2 - Prob. 66SRCh. 13.2 - Prob. 67SRCh. 13.2 - Prob. 68SRCh. 13.2 - Prob. 69SRCh. 13.2 - Prob. 70SRCh. 13.2 - Prob. 71SRCh. 13.2 - Prob. 72SRCh. 13.2 - Prob. 73SCh. 13.2 - Prob. 74SCh. 13.2 - Prob. 75SCh. 13.2 - Prob. 76SCh. 13.3 - Prob. 1AGPCh. 13.3 - Prob. 1BGPCh. 13.3 - Prob. 2GPCh. 13.3 - Prob. 3AGPCh. 13.3 - Prob. 3BGPCh. 13.3 - Prob. 1CYUCh. 13.3 - Prob. 2CYUCh. 13.3 - Prob. 3CYUCh. 13.3 - Prob. 4CYUCh. 13.3 - Prob. 5CYUCh. 13.3 - Prob. 6CYUCh. 13.3 - Prob. 7CYUCh. 13.3 - Prob. 8CYUCh. 13.3 - Prob. 9CYUCh. 13.3 - Prob. 10CYUCh. 13.3 - Prob. 11CYUCh. 13.3 - Prob. 12PPSCh. 13.3 - Prob. 13PPSCh. 13.3 - Prob. 14PPSCh. 13.3 - Prob. 15PPSCh. 13.3 - Prob. 16PPSCh. 13.3 - Prob. 17PPSCh. 13.3 - Prob. 18PPSCh. 13.3 - Prob. 19PPSCh. 13.3 - Prob. 20PPSCh. 13.3 - Prob. 21PPSCh. 13.3 - Prob. 22PPSCh. 13.3 - Prob. 23PPSCh. 13.3 - Prob. 24PPSCh. 13.3 - Prob. 25PPSCh. 13.3 - Prob. 26PPSCh. 13.3 - Prob. 27PPSCh. 13.3 - Prob. 28PPSCh. 13.3 - Prob. 29PPSCh. 13.3 - Prob. 30PPSCh. 13.3 - Prob. 31PPSCh. 13.3 - Prob. 32PPSCh. 13.3 - Prob. 33PPSCh. 13.3 - Prob. 34PPSCh. 13.3 - Prob. 35PPSCh. 13.3 - Prob. 36PPSCh. 13.3 - Prob. 37PPSCh. 13.3 - Prob. 38HPCh. 13.3 - Prob. 39HPCh. 13.3 - Prob. 40HPCh. 13.3 - Prob. 41HPCh. 13.3 - Prob. 42HPCh. 13.3 - Prob. 43STPCh. 13.3 - Prob. 44STPCh. 13.3 - Prob. 45STPCh. 13.3 - Prob. 46STPCh. 13.3 - Prob. 47SRCh. 13.3 - Prob. 48SRCh. 13.3 - Prob. 49SRCh. 13.3 - Prob. 50SRCh. 13.3 - Prob. 51SRCh. 13.3 - Prob. 52SRCh. 13.3 - Prob. 53SRCh. 13.3 - Prob. 54SRCh. 13.3 - Prob. 55SCh. 13.3 - Prob. 56SCh. 13.3 - Prob. 57SCh. 13.3 - Prob. 1MCQCh. 13.3 - Prob. 2MCQCh. 13.3 - Prob. 3MCQCh. 13.3 - Prob. 4MCQCh. 13.3 - Prob. 5MCQCh. 13.3 - Prob. 6MCQCh. 13.3 - Prob. 7MCQCh. 13.3 - Prob. 8MCQCh. 13.3 - Prob. 9MCQCh. 13.3 - Prob. 10MCQCh. 13.3 - Prob. 11MCQCh. 13.3 - Prob. 12MCQCh. 13.3 - Prob. 13MCQCh. 13.3 - Prob. 14MCQCh. 13.3 - Prob. 15MCQCh. 13.3 - Prob. 16MCQCh. 13.3 - Prob. 17MCQCh. 13.3 - Prob. 18MCQCh. 13.3 - Prob. 19MCQCh. 13.3 - Prob. 20MCQCh. 13.3 - Prob. 21MCQCh. 13.3 - Prob. 22MCQCh. 13.3 - Prob. 23MCQCh. 13.3 - Prob. 24MCQCh. 13.3 - Prob. 25MCQCh. 13.4 - Prob. 1GPCh. 13.4 - Prob. 2AGPCh. 13.4 - Prob. 2BGPCh. 13.4 - Prob. 3GPCh. 13.4 - Prob. 4AGPCh. 13.4 - Prob. 4BGPCh. 13.4 - Prob. 5GPCh. 13.4 - Prob. 1CYUCh. 13.4 - Prob. 2CYUCh. 13.4 - Prob. 3CYUCh. 13.4 - Prob. 4CYUCh. 13.4 - Prob. 5CYUCh. 13.4 - Prob. 6CYUCh. 13.4 - Prob. 7CYUCh. 13.4 - Prob. 8CYUCh. 13.4 - Prob. 9CYUCh. 13.4 - Prob. 10CYUCh. 13.4 - Prob. 11CYUCh. 13.4 - Prob. 12PPSCh. 13.4 - Prob. 13PPSCh. 13.4 - Prob. 14PPSCh. 13.4 - Prob. 15PPSCh. 13.4 - Prob. 16PPSCh. 13.4 - Prob. 17PPSCh. 13.4 - Prob. 18PPSCh. 13.4 - Prob. 19PPSCh. 13.4 - Prob. 20PPSCh. 13.4 - Prob. 21PPSCh. 13.4 - Prob. 22PPSCh. 13.4 - Prob. 23PPSCh. 13.4 - Prob. 24PPSCh. 13.4 - Prob. 25PPSCh. 13.4 - Prob. 26PPSCh. 13.4 - Prob. 27PPSCh. 13.4 - Prob. 28PPSCh. 13.4 - Prob. 29PPSCh. 13.4 - Prob. 30PPSCh. 13.4 - Prob. 31PPSCh. 13.4 - Prob. 32PPSCh. 13.4 - Prob. 33PPSCh. 13.4 - Prob. 34PPSCh. 13.4 - Prob. 35PPSCh. 13.4 - Prob. 36PPSCh. 13.4 - Prob. 37HPCh. 13.4 - Prob. 38HPCh. 13.4 - Prob. 39HPCh. 13.4 - Prob. 40HPCh. 13.4 - Prob. 41HPCh. 13.4 - Prob. 42HPCh. 13.4 - Prob. 43STPCh. 13.4 - Prob. 44STPCh. 13.4 - Prob. 45STPCh. 13.4 - Prob. 46STPCh. 13.4 - Prob. 47SRCh. 13.4 - Prob. 48SRCh. 13.4 - Prob. 49SRCh. 13.4 - Prob. 50SRCh. 13.4 - Prob. 51SRCh. 13.4 - Prob. 52SRCh. 13.4 - Prob. 53SRCh. 13.4 - Prob. 54SRCh. 13.4 - Prob. 55SRCh. 13.4 - Prob. 56SRCh. 13.4 - Prob. 57SRCh. 13.4 - Prob. 58SCh. 13.4 - Prob. 59SCh. 13.4 - Prob. 60SCh. 13.5 - Prob. 1ECh. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 1GPCh. 13.5 - Prob. 2AGPCh. 13.5 - Prob. 2BGPCh. 13.5 - Prob. 3GPCh. 13.5 - Prob. 4AGPCh. 13.5 - Prob. 4BGPCh. 13.5 - Prob. 5AGPCh. 13.5 - Prob. 5BGPCh. 13.5 - Prob. 1CYUCh. 13.5 - Prob. 2CYUCh. 13.5 - Prob. 3CYUCh. 13.5 - Prob. 4CYUCh. 13.5 - Prob. 5CYUCh. 13.5 - Prob. 6CYUCh. 13.5 - Prob. 7CYUCh. 13.5 - Prob. 8CYUCh. 13.5 - Prob. 9CYUCh. 13.5 - Prob. 10CYUCh. 13.5 - Prob. 11CYUCh. 13.5 - Prob. 12CYUCh. 13.5 - Prob. 13CYUCh. 13.5 - Prob. 14CYUCh. 13.5 - Prob. 15CYUCh. 13.5 - Prob. 16CYUCh. 13.5 - Prob. 17CYUCh. 13.5 - Prob. 18CYUCh. 13.5 - Prob. 19CYUCh. 13.5 - Prob. 20CYUCh. 13.5 - Prob. 21CYUCh. 13.5 - Prob. 22CYUCh. 13.5 - Prob. 23CYUCh. 13.5 - Prob. 24CYUCh. 13.5 - Prob. 25CYUCh. 13.5 - Prob. 26CYUCh. 13.5 - Prob. 27CYUCh. 13.5 - Prob. 28CYUCh. 13.5 - Prob. 29CYUCh. 13.5 - Prob. 30PPSCh. 13.5 - Prob. 31PPSCh. 13.5 - Prob. 32PPSCh. 13.5 - Prob. 33PPSCh. 13.5 - Prob. 34PPSCh. 13.5 - Prob. 35PPSCh. 13.5 - Prob. 36PPSCh. 13.5 - Prob. 37PPSCh. 13.5 - Prob. 38PPSCh. 13.5 - Prob. 39PPSCh. 13.5 - Prob. 40PPSCh. 13.5 - Prob. 41PPSCh. 13.5 - Prob. 42PPSCh. 13.5 - Prob. 43PPSCh. 13.5 - Prob. 44PPSCh. 13.5 - Prob. 45PPSCh. 13.5 - Prob. 46PPSCh. 13.5 - Prob. 47PPSCh. 13.5 - Prob. 48PPSCh. 13.5 - Prob. 49PPSCh. 13.5 - Prob. 50PPSCh. 13.5 - Prob. 51PPSCh. 13.5 - Prob. 52PPSCh. 13.5 - Prob. 53PPSCh. 13.5 - Prob. 54PPSCh. 13.5 - Prob. 55PPSCh. 13.5 - Prob. 56PPSCh. 13.5 - Prob. 57PPSCh. 13.5 - Prob. 58PPSCh. 13.5 - Prob. 59HPCh. 13.5 - Prob. 60HPCh. 13.5 - Prob. 61HPCh. 13.5 - Prob. 62HPCh. 13.5 - Prob. 63HPCh. 13.5 - Prob. 64STPCh. 13.5 - Prob. 65STPCh. 13.5 - Prob. 66STPCh. 13.5 - Prob. 67STPCh. 13.5 - Prob. 68SRCh. 13.5 - Prob. 69SRCh. 13.5 - Prob. 70SRCh. 13.5 - Prob. 71SRCh. 13.5 - Prob. 72SRCh. 13.5 - Prob. 73SRCh. 13.5 - Prob. 74SRCh. 13.5 - Prob. 75SRCh. 13.5 - Prob. 76SRCh. 13.5 - Prob. 77SRCh. 13.5 - Prob. 78SRCh. 13.5 - Prob. 79SRCh. 13.5 - Prob. 80SRCh. 13.5 - Prob. 81SCh. 13.5 - Prob. 82SCh. 13.5 - Prob. 83SCh. 13 - Prob. 1QCCh. 13 - Prob. 2QCCh. 13 - Prob. 3QCCh. 13 - Prob. 4QCCh. 13 - Prob. 5QCCh. 13 - Prob. 6QCCh. 13 - Prob. 7QCCh. 13 - Prob. 8QCCh. 13 - Prob. 9QCCh. 13 - Prob. 10QCCh. 13 - Prob. 11QCCh. 13 - Prob. 12QCCh. 13 - Prob. 13QCCh. 13 - Prob. 14QCCh. 13 - Prob. 15QCCh. 13 - Prob. 1SGRCh. 13 - Prob. 2SGRCh. 13 - Prob. 3SGRCh. 13 - Prob. 4SGRCh. 13 - Prob. 5SGRCh. 13 - Prob. 6SGRCh. 13 - Prob. 7SGRCh. 13 - Prob. 8SGRCh. 13 - Prob. 9SGRCh. 13 - Prob. 10SGRCh. 13 - Prob. 11SGRCh. 13 - Prob. 12SGRCh. 13 - Prob. 13SGRCh. 13 - Prob. 14SGRCh. 13 - Prob. 15SGRCh. 13 - Prob. 16SGRCh. 13 - Prob. 17SGRCh. 13 - Prob. 18SGRCh. 13 - Prob. 19SGRCh. 13 - Prob. 20SGRCh. 13 - Prob. 21SGRCh. 13 - Prob. 22SGRCh. 13 - Prob. 23SGRCh. 13 - Prob. 24SGRCh. 13 - Prob. 25SGRCh. 13 - Prob. 26SGRCh. 13 - Prob. 27SGRCh. 13 - Prob. 28SGRCh. 13 - Prob. 29SGRCh. 13 - Prob. 30SGRCh. 13 - Prob. 31SGRCh. 13 - Prob. 32SGRCh. 13 - Prob. 33SGRCh. 13 - Prob. 34SGRCh. 13 - Prob. 35SGRCh. 13 - Prob. 36SGRCh. 13 - Prob. 37SGRCh. 13 - Prob. 38SGRCh. 13 - Prob. 39SGRCh. 13 - Prob. 40SGRCh. 13 - Prob. 41SGRCh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Prob. 7PTCh. 13 - Prob. 8PTCh. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 11PTCh. 13 - Prob. 12PTCh. 13 - Prob. 13PTCh. 13 - Prob. 14PTCh. 13 - Prob. 15PTCh. 13 - Prob. 16PTCh. 13 - Prob. 17PTCh. 13 - Prob. 18PTCh. 13 - Prob. 19PTCh. 13 - Prob. 20PTCh. 13 - Prob. 21PTCh. 13 - Prob. 22PTCh. 13 - Prob. 23PTCh. 13 - Prob. 24PTCh. 13 - Prob. 25PTCh. 13 - Prob. 1ECh. 13 - Prob. 2ECh. 13 - Prob. 3ECh. 13 - Prob. 4ECh. 13 - Prob. 5ECh. 13 - Prob. 6ECh. 13 - Prob. 7ECh. 13 - Prob. 1STPCh. 13 - Prob. 2STPCh. 13 - Prob. 3STPCh. 13 - Prob. 4STPCh. 13 - Prob. 5STPCh. 13 - Prob. 6STPCh. 13 - Prob. 7STPCh. 13 - Prob. 8STPCh. 13 - Prob. 9STPCh. 13 - Prob. 10STPCh. 13 - Prob. 11STPCh. 13 - Prob. 12STPCh. 13 - Prob. 13STPCh. 13 - Prob. 14STPCh. 13 - Prob. 15STPCh. 13 - Prob. 16STPCh. 13 - Prob. 17STP
Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
Inverse Trigonometric Functions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=YXWKpgmLgHk;License: Standard YouTube License, CC-BY