Four trigonometric identities are given by: a) Sin 4x = 4sin x cos x - 8sin x cos x 1- tan?x b) Cos 2x = 1+tan2x c) tan 4x = 4tanx-4tan3x d) sin³x =(3sinx – sin 3x) 1-6tan2x+tantx For each part, verify that the identity is correct by calculating the values of the left and right sides of the equation, substituting x =12°.
Four trigonometric identities are given by: a) Sin 4x = 4sin x cos x - 8sin x cos x 1- tan?x b) Cos 2x = 1+tan2x c) tan 4x = 4tanx-4tan3x d) sin³x =(3sinx – sin 3x) 1-6tan2x+tantx For each part, verify that the identity is correct by calculating the values of the left and right sides of the equation, substituting x =12°.
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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The following problems can be solved by writing commands in the command window. (4)
![Four trigonometric identities are given by:
a) Sin 4x = 4sin x cos x - 8sin x cos x
1- tan?x
b) Cos 2x =
%3D
1+tan2x
1
d) sin³x =(3sinx – sin 3x)
4tanx-4tan³x
c) tan 4x:
1-6tan2x+tan4x
4
For each part, verify that the identity is correct by calculating the values of the left and right sides of
the equation, substituting x =12°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba1b9c7e-df8f-4961-8401-1a8cd1025082%2Fbf91d08a-723a-484d-996e-994c94955e93%2Fj4u87of_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Four trigonometric identities are given by:
a) Sin 4x = 4sin x cos x - 8sin x cos x
1- tan?x
b) Cos 2x =
%3D
1+tan2x
1
d) sin³x =(3sinx – sin 3x)
4tanx-4tan³x
c) tan 4x:
1-6tan2x+tan4x
4
For each part, verify that the identity is correct by calculating the values of the left and right sides of
the equation, substituting x =12°.
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