f) 1+ cot²a = csc² a

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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answer f) only

Prove each identity. State any restrictions on the variables if all angles vary from 0° to 360°.
a) tan a cos α = sin a
d) sec cos + sec 0 sin 0 = 1 + tan 0
1
b)
c)
= sin
cot o
1 cos²x =
sec
sin x cos x
cot x
e) tan² + 1 = sec²
f) 1 + cot² a = csc² α
Transcribed Image Text:Prove each identity. State any restrictions on the variables if all angles vary from 0° to 360°. a) tan a cos α = sin a d) sec cos + sec 0 sin 0 = 1 + tan 0 1 b) c) = sin cot o 1 cos²x = sec sin x cos x cot x e) tan² + 1 = sec² f) 1 + cot² a = csc² α
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