11) Prove each identity: a) cos(a+b) cos(a)cos (b) b) 2 sec2(t)= - 1 tan(a) tan (b) 1-sin(t) cos²(t) 1 1-sin(t) c) sin(2x) 2 tan(x) = 1+tan2(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 25E
Question
11) Prove each identity:
a)
cos(a+b)
cos(a)cos (b)
b) 2 sec2(t)=
-
1 tan(a) tan (b)
1-sin(t)
cos²(t)
1
1-sin(t)
c) sin(2x)
2 tan(x)
=
1+tan2(x)
Transcribed Image Text:11) Prove each identity: a) cos(a+b) cos(a)cos (b) b) 2 sec2(t)= - 1 tan(a) tan (b) 1-sin(t) cos²(t) 1 1-sin(t) c) sin(2x) 2 tan(x) = 1+tan2(x)
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