Evaluate. 76) 677 sin 7 76) sin D) 07 87 B) 7 A) Find. 77 77) sin (cos-1 x) D)VI-x2 1 B) V1-x2 х A) x 78) tan (cos1 x) 78) V1-x2 B) 1 D) A) V1-x2 V1-x2 х Multiply and simplify. 79) (cos x - sin x)2 A) cos2x + 2 sin2x 79) B) 1 - 2 sin x cos x C) 1 D) cos2x + 2 sin x - sin2x 80) cos e sin 0 (sec 0 - csc e) 80) A) sin 6 - cose B) 1 C) sin 0 2 csc 0 D) cos2 e- 1 81) (1 - cos x)(1 cos x) 81) A) cos2x - 1 B) sin x + 2 csC x C) sin2x D) 1 +2 sin2x Simplify the expression. cos4 x - sin4 x 82) cos2 x - sin2 x 82) A) -1 B) 1 1 1 C) cos2 x - sin2 x D) -- cos x - sin2 х A-30 FI7
Evaluate. 76) 677 sin 7 76) sin D) 07 87 B) 7 A) Find. 77 77) sin (cos-1 x) D)VI-x2 1 B) V1-x2 х A) x 78) tan (cos1 x) 78) V1-x2 B) 1 D) A) V1-x2 V1-x2 х Multiply and simplify. 79) (cos x - sin x)2 A) cos2x + 2 sin2x 79) B) 1 - 2 sin x cos x C) 1 D) cos2x + 2 sin x - sin2x 80) cos e sin 0 (sec 0 - csc e) 80) A) sin 6 - cose B) 1 C) sin 0 2 csc 0 D) cos2 e- 1 81) (1 - cos x)(1 cos x) 81) A) cos2x - 1 B) sin x + 2 csC x C) sin2x D) 1 +2 sin2x Simplify the expression. cos4 x - sin4 x 82) cos2 x - sin2 x 82) A) -1 B) 1 1 1 C) cos2 x - sin2 x D) -- cos x - sin2 х A-30 FI7
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Can you please answer 78 and show the steps and explain it
Transcribed Image Text:Evaluate.
76)
677
sin
7
76) sin
D)
07
87
B)
7
A)
Find.
77
77) sin (cos-1 x)
D)VI-x2
1
B)
V1-x2
х
A) x
78) tan (cos1 x)
78)
V1-x2
B)
1
D)
A)
V1-x2
V1-x2
х
Multiply and simplify.
79) (cos x - sin x)2
A) cos2x + 2 sin2x
79)
B) 1 - 2 sin x cos x
C) 1
D) cos2x + 2 sin x - sin2x
80) cos e sin 0 (sec 0 - csc e)
80)
A) sin 6 - cose
B) 1
C) sin 0 2 csc 0
D) cos2 e- 1
81) (1 - cos x)(1
cos x)
81)
A) cos2x - 1
B) sin x + 2 csC x
C) sin2x
D) 1 +2 sin2x
Simplify the expression.
cos4 x - sin4 x
82)
cos2 x - sin2 x
82)
A) -1
B) 1
1
1
C)
cos2 x - sin2 x
D) --
cos x - sin2
х
A-30
FI7
Expert Solution
Step 1
Given,
Step 2
Now
![Let cos x = y →(1)
= x = cos y →(2)
Now using sin’ y + cos' y =1, we get
sin' y +x =1 [using equation (2)]
= sin' y =1- r²
= sin y = V1-x
→(3)
V1–x²
sin y
using equations (2) and (3)]
cos y
V1-x
sin x
tan x
cos x
= tan y
=
V1-x²](https://content.bartleby.com/qna-images/answer/d34ce3f1-718c-475d-b84a-2ba4a5b1af1a/f15c6350-3fe2-4c31-ba7b-62904d3e54a6/t5y5q5.png)
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