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
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe070cbb2-9c9a-472a-a1eb-bb8457d5c77e%2Fb7adf6c8-ea99-4484-a703-9dd9df18b27d%2F8jh8r6h_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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