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Question

If cos6 α+sin6 α+K sin2 2α=1, then K=

A
43
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B
34
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C
12
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D
2
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Solution

The correct option is B 34
Since cos6 α+sin6 α+K sin2 2α=1, using formula a3+b3=(a+b)33ab(a+b) and on solving, we get the required result i.e. K=34.


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