#1 1. sin x csc x = 12. tan x csc x + cotx sin x = sec x + cos xPythagorean Identities3. cos? x (1+ tan² x)1Multiply4. sin?x(csc²x + sec²x) = sec?xFactortan?x-sec?x5.tan x-sec x= tan x +E sec xAdd Fractionssin x1+ cos x6.= 2 csc x1+ cos xsin xEven/Odd7. sin?(-x) + cos?x= 1Sum/Difference Formulassin(a, b)8.cos a cosb= tan a cot b – 1Double Angle/Half Angle Formulas9. 1+ cos 2x = 2 cos? x

1.csc x=1sin xL.H.S.=sin x csc x =sin x 1sin x =1 =R.H.S.sin x csc x=12.L.H.S.…

Answered: 1. sin x csc x = 1 2. tan x csc x +…

Math

Trigonometry

1. sin x csc x = 1 2. tan x csc x + cotx sin x = sec x + cos x Pythagorean Identities 3. cos? x (1 + tan? x) = 1

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°.

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Question

1. sin x csc x = 1
2. tan x csc x + cotx sin x = sec x + cos x
Pythagorean Identities
3. cos? x (1+ tan² x)
1
Multiply
4. sin?x(csc²x + sec²x) = sec?x
Factor
tan?x-sec?x
5.
tan x-sec x
= tan x +E sec x
Add Fractions
sin x
1+ cos x
6.
= 2 csc x
1+ cos x
sin x
Even/Odd
7. sin?(-x) + cos?x
= 1
Sum/Difference Formulas
sin(a, b)
8.
cos a cosb
= tan a cot b – 1
Double Angle/Half Angle Formulas
9. 1+ cos 2x = 2 cos? x

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