Answered: To right triangle ABC with C = 90°. In…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter8: Complex Numbers And Polarcoordinates

Section: Chapter Questions

Problem 1CLT: If cos=35 with in QIV, find the values of the remaining five trigonometric functions for .

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Question

To right triangle ABC with C = 90°. In each case, use the given
information to find the six trigonometric functions of A.

a= 2 b =1

Expert Solution

Step 1

$A B C i s a r i g h t a n g l e d t r i a n g l e w i t h r i g h t a n g l e d a t C . T h e n, A B = H y p o t e n u s e A C = B a s e = 2 B C = P e r p e n d i c u l a r = 1 U \sin g P y t h a g o r u s t h e o r e m - A B^{2} = A C^{2} + B C^{2} S u b s t i t u t i n g t h e v a l u e o f a a n d b - A B^{2} = 2^{2} + 1^{2} A B^{2} = 5 A B = \sqrt{5} L e t θ b e t h e a n g l e f o r m e d b y b a s e a n d h y p o t e n u s e i . e ., θ = ∠ A$

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