# Trigonometric functions

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ASSIGNMENT 5

7.1

2. if cos x = -.65, then cos (-x) = -.65

Find the remaining five trig functions of theta

22. cos theta = 1/5, theta in quadrant I

30. tan x = D sin x/cos x T or F

34. - tan x cos x =

Write each expression in terms of sine and cosine and simplify

52. cot square theta (1+ tan square theta)

7.2

Perform the operation and simplify

2. sec x/ csc x + csc x / sec x

Factor each trigonometric expression

18. 4 tan square B + tan B - 3

Use fundamental identities to simplify

26. cot t tan t

Verify the trigonometric equation is an identity

34. tan a / sec a = sin a

44. cos theta/sin theta cot theta = 1

60. sin theta / 1-cos theta - sin theta cos theta / 1 + cos theta = csc theta (1+cos square theta)

Graph

76. 1+cot square s = sec square s / sec square s - 1

7.3

Use identities to find the value

6. cos ( -15 degrees)

Write the function value in terms of the cofunction of a complementary angle

16. sin 2pi/5

Use identities to write each expression as a function of x or theta

50. tan ( pi/4 + x)

Graph

76. sin (s + t)/ cos s cos t = tan s + tan t

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##### Solution Summary

This provides several examples of finding trigonometric functions, writing trigonometric expressions in terms of sine and cosine, graphing, and performing operations on trigonometric functions.

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