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Radheshyam Surya Sahota
Asked: 2022-10-29T16:52:09+05:30 In:

`sin theta + cos theta =sqrt(2), ` then `sin^(16)theta `=______
A. `(cos^(16)theta )/(2^(16))`
B. `(sec^(16)theta)/(2^(8))`
C. `(1)/(2 sec^(16) theta )`
D. `(1)/(2^(16) cos^(16) theta )`

`sin theta + cos theta =sqrt(2), ` then `sin^(16)theta `=______
A. `(cos^(16)theta )/(2^(16))`
B. `(sec^(16)theta)/(2^(8))`
C. `(1)/(2 sec^(16) theta )`
D. `(1)/(2^(16) cos^(16) theta )`
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  1. Correct Answer – D
    ` sin theta+ cos theta=sqrt(2)`
    `sin^(2)theta+ cos^(2) theta +2 sin theta cos theta =2`
    `implies 2 sin theta cos theta =1`
    ` sin theta cos theta=(1)/(2)`
    `sin^(16)=(1)/(2^(16)cos^(16)theta)`.

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