Prove the identity. 5 tan(3x) = 15 tan(x) – 5 tan²(x) 1- 3 tan?(x) Rewrite 3x as 2x + x and use the Addition Formula for Tangent to simplify. 5 tan(3x) = 5 tan(2x + x) 1- tan(2x) tan(x) Use the Double-Angle Formula for Tangent to simplify. + 5 tan(x) ctan(x)) 19 + 10 tan(x) (1 – tan (x)) – Need Help? Read It Watch It
Prove the identity. 5 tan(3x) = 15 tan(x) – 5 tan²(x) 1- 3 tan?(x) Rewrite 3x as 2x + x and use the Addition Formula for Tangent to simplify. 5 tan(3x) = 5 tan(2x + x) 1- tan(2x) tan(x) Use the Double-Angle Formula for Tangent to simplify. + 5 tan(x) ctan(x)) 19 + 10 tan(x) (1 – tan (x)) – Need Help? Read It Watch It
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 71E
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![Prove the identity.
5 tan(3x) = 15 tan(x) – 5 tan³(x)
1- 3 tan?(x)
Rewrite 3x as 2x + x and use the Addition Formula for Tangent to simplify.
5 tan(3x) = 5 tan(2x + x)
1- tan(2x) tan(x)
Use the Double-Angle Formula for Tangent to simplify.
+ 5 tan(x)
)(tan(x))
19
+ 10 tan(x)
(1 - tan?(x)) -
Need Help?
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Transcribed Image Text:Prove the identity.
5 tan(3x) = 15 tan(x) – 5 tan³(x)
1- 3 tan?(x)
Rewrite 3x as 2x + x and use the Addition Formula for Tangent to simplify.
5 tan(3x) = 5 tan(2x + x)
1- tan(2x) tan(x)
Use the Double-Angle Formula for Tangent to simplify.
+ 5 tan(x)
)(tan(x))
19
+ 10 tan(x)
(1 - tan?(x)) -
Need Help?
Read It
Watch It
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