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Question

cos1(513)+cos1(35)=cos1xx=

A
365
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B
3665
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C
3365
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D
1
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Solution

The correct option is B 3365
Given:
cos1(513)+cos1(35)=cos1(x)
Taking cosine on both sides,
cos(cos1(513)+cos1(35))=cos(cos1(x))

Concepts used:
cos(A+B)=cos(A)cos(B)sin(A)sin(B)
cos1(513)=sin1(1213) and,
cos1(35)=sin1(45)

x=513×351213×45
x=154865
x=3365

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