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4.2.39Question HelpFind the exact value of the given trigonometric function. Do not use a calculator.97TCOs9TCOs4(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Question

Find the exact value of the given trigonometric function

cos             9pie

             ______________

                      4

 

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4.2.39
Question Help
Find the exact value of the given trigonometric function. Do not use a calculator.
97T
COs
9T
COs
4
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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4.2.39 Question Help Find the exact value of the given trigonometric function. Do not use a calculator. 97T COs 9T COs 4 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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check_circleAnswer
Step 1

The value of the trigonometric function is given as

977
cos
4
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977 cos 4

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Step 2

Without using calculator, the exact value is obtained as follows.

97
= cos 27
cos
4
cos (27 +)
cose
= COS
4
-
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97 = cos 27 cos 4 cos (27 +) cose = COS 4 -

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Step 3

Rationalize the f...

97T
cos
4
2
1.414
2
707
0.707 or
1000
-L
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97T cos 4 2 1.414 2 707 0.707 or 1000 -L

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