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Question
The value of `cos^2 π/16 + cos^2 (3π)/16 + cos^2 (5π)/16 + cos^2 (7π)/16` is ______.
Options
2
1
0
None of these
MCQ
Fill in the Blanks
Solution
The value of `cos^2 π/16 + cos^2 (3π)/16 + cos^2 (5π)/16 + cos^2 (7π)/16` is 2.
Explanation:
`cos^2 π/16 + cos^2 (3π)/16 + cos^2 (5π)/16 + cos^2 (7π)/16`
`cos^2 π/16 + cos^2 (3π)/16 + cos^2(π/2 - (3π)/16) + cos^2(π/2 - π/16)`
= `cos^2 π/16 + cos^2 (3π)/16 + sin^2 (3π)/16 + sin^2 π/16`
= 1 + 1
= 2
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Trigonometric Functions of Allied Angels
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