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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9affadff-1dbc-4796-87cc-cd8c2c6f7c45%2Fca8dab89-fc35-4d10-aada-34183ff1a860%2F3zhj2wj_processed.jpeg&w=3840&q=75)
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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