Given a triangle ABC, which among thefollowing shows the Laws of Cosine?i. (AC)² = (AB)² + (BC)² – 4 (AB) (BC) cos Aii. (BC)² = (AB)² + (AC)² – 4(AB)(AC) cos B(BC)²+(AC)?-(AB)?iii. cos C =(АC)(ВС)O A. i and iiB. ii and iiC. i and iiiO D. i, ii, and iiConsider a parallelogram with diagonals oflength of 25.8 and 30.8 respectively. These twodiagonals intersect at an angle of 42.4°. Findthe length of the longer side of theparallelogram.O A. 10.50В. 26.40О с. 20.99O D. 52.8037The number of solutions to cos 0 = - c, with 0

As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Given a triangle ABC, which among the following shows the Laws of Cosine? i. (AC)² = (AB)² + (BC)² – 4(AB) (BC) cos A ii. (BC)² = (AB)² + (AC)² – 4 (AB)(AC) cos B (BC)²+(AC)²-(AB)? iii. cos C = (AC)(BC) A. i and ii B. ii and ii O C. i and ii D. i, ii, and iii

Given a triangle ABC, which among the following shows the Laws of Cosine? i. (AC)² = (AB)² + (BC)² – 4(AB) (BC) cos A ii. (BC)² = (AB)² + (AC)² – 4 (AB)(AC) cos B (BC)²+(AC)²-(AB)? iii. cos C = (AC)(BC) A. i and ii B. ii and ii O C. i and ii D. i, ii, and iii

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 4E

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Question

Given a triangle ABC, which among the
following shows the Laws of Cosine?
i. (AC)² = (AB)² + (BC)² – 4 (AB) (BC) cos A
ii. (BC)² = (AB)² + (AC)² – 4(AB)(AC) cos B
(BC)²+(AC)?-(AB)?
iii. cos C =
(АC)(ВС)
O A. i and ii
B. ii and ii
C. i and iii
O D. i, ii, and ii
Consider a parallelogram with diagonals of
length of 25.8 and 30.8 respectively. These two
diagonals intersect at an angle of 42.4°. Find
the length of the longer side of the
parallelogram.
O A. 10.50
В. 26.40
О с. 20.99
O D. 52.80
37
The number of solutions to cos 0 = - c, with 0 <c<1 and
2
O A. O
В. 1
О С. 2
O D. Infinitely many

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