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Find the value of cos^2pi/(16)+cos^2(3pi...

Find the value of `cos^2pi/(16)+cos^2(3pi)/(16)+cos^2(5pi)/(16)+cos^2(7pi)/(16)dot`

A

2

B

1

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`cos^(2)"" pi/16 + cos^(2) ""(3pi)/16 + cos^(2) ""(5pi)/16 +cos^(2)""(7pi)/16`
` cos^(2)""pi/16 +cos^(2) ""(3pi)/16 +cos^(2)""(pi/2- (3pi)/16)+cos^(2) (pi/2 -pi/16)`
` cos^(2) ""pi/16 +cos^(@) ""(3pi)/16 +sin^(2) (3pi)/16 +sin^(2) ""(pi)/16+sin^(2) ""pi/16 =1 +1 =2`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-TRIGONOMETRIC FUNCTIONS -EXERCISE 1 Trigonomertric Ratio of Allied Angle
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  15. If sin A + sin B + sin C = 3, then cos A + cos B + cos C is equal to

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