Write each expression as a single trigonometric function Question 21,23,25 13. cos (180° – 0) = -cos 0> 15. sin (90° + 0) = cos 02)14. sin (180° – 0) = sin 016. cos (90° + 0) = –sin 0%3D%3D= Cos%3D1 + tan xtan x – 1 the foCOS17. tan (x +T-18. tan x4%3D1 – tan x|are call4tan x + 1belor sin24.19. sin-COs x20. cos ( x%3D|= -sin x%3D-2Sum forWrite each expression as a single trigonometric function.erty22. cos 3x cos 2x + sin 3x sin 2x2021. sin 3x cos 2x + cos 3x sin 2x23. cos 5x cos x –sin 5x sin x24. sin 8x cos x – cos 8x sin x25. cos 15° cos 75° – sin 15° sin 75°26. cos 15° cos 75° + sin 15° sin 75°200Graph each of the following from x = 0 to x = 27.cos 5x sin 3x 200for27. y = sin 5x cos 3x28. y = sin x cos 2x + cos x sin 2x29. у —-%3Dla is that it indicates the 2 inThat is.%3D= 3 cos 7x cos 5x + 3 sin 7x sin 5x30. y = 2 cos 4x cos x + 2 sin 4x sin x%3D- + cos x sin - by first rewritin431. Graph one complete cycle of ythe right side in the form sin (A + B).32. Graph one complete cycle of y = sin x cossin x coscos x sin by first rewriting th6.

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Description: Write each expression as a single trigonometric function Question 21,23,25 13. cos (180° – 0) = -cos 0> 15. sin (90° + 0) = cos 02)14. sin (180° – 0) = sin 016. cos (90° + 0) = –sin 0%3D%3D= Cos%3D1 + tan xtan x – 1 the foCOS17. tan (x +T-18. tan x4%

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Trigonometry

+ co Write each expression as a single trigonc 21. sin 3x cos 2x + cos 3x sin 2x 23. cos 5x cos x – sin 5x sin x 25. cos 15° cos 75° – sin 15° sin 75°

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 19E

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Concept explainers

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Question

Write each expression as a single trigonometric function

Question 21,23,25

13. cos (180° – 0) = -cos 0
> 15. sin (90° + 0) = cos 0
2)
14. sin (180° – 0) = sin 0
16. cos (90° + 0) = –sin 0
%3D
%3D
= Cos
%3D
1 + tan x
tan x – 1 the fo
COS
17. tan (x +
T
-
18. tan x
4
%3D
1 – tan x
|
are call
4
tan x + 1
be
lor sin
24.
19. sin
-COs x
20. cos ( x
%3D
|
= -sin x
%3D
-
2
Sum for
Write each expression as a single trigonometric function.
erty
22. cos 3x cos 2x + sin 3x sin 2x
20
21. sin 3x cos 2x + cos 3x sin 2x
23. cos 5x cos x –
sin 5x sin x
24. sin 8x cos x – cos 8x sin x
25. cos 15° cos 75° – sin 15° sin 75°
26. cos 15° cos 75° + sin 15° sin 75°
200
Graph each of the following from x = 0 to x = 27.
cos 5x sin 3x 200
for
27. y = sin 5x cos 3x
28. y = sin x cos 2x + cos x sin 2x
29. у —
-
%3D
la is that it indicates the 2 in
That is.
%3D
= 3 cos 7x cos 5x + 3 sin 7x sin 5x
30. y = 2 cos 4x cos x + 2 sin 4x sin x
%3D
- + cos x sin - by first rewritin
4
31. Graph one complete cycle of y
the right side in the form sin (A + B).
32. Graph one complete cycle of y = sin x cos
sin x cos
cos x sin by first rewriting th
6.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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