a. sin(180°) b. sin(360°) c. sin(-90°) d. sin(510°) e. cos(90°) f. tan(-90°)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
9-89. Evaluate each of the following trig expressions without using a calculator.
a. sin(180°)
b. sin(360°)
c. sin(-90°)
d. sin(510°)
e. cos(90°)
f. tan(-90°)
Transcribed Image Text:9-89. Evaluate each of the following trig expressions without using a calculator. a. sin(180°) b. sin(360°) c. sin(-90°) d. sin(510°) e. cos(90°) f. tan(-90°)
Expert Solution
Step 1

1. sin(180) =?

    sin(180)= sin(90+90) = cos90 = 0  |  formula :- sin(90+A) = cosA

    sin(180) = 0

2. sin(360) =?

    sin(360) = sin(270+90) = -cos90 = 0 |formula sin(270+A) = -cosA

    sin360 = 0

 

 3. sin(-90) =?

   sin(-90) = -sin90 = -1  | sin(-A) = -sinA

  sin(-90) = -1

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