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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