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Question

If x=cos1(23)+tan1(17) then x=

A
cos1{145350}
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B
cos1{105350}
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C
cos1{1415350}
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D
None of these
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Solution

The correct option is A cos1{145350}

We have,

cos123+tan117

We know that,

tan1x=cos1(11+x2)

Therefore,

=cos123+cos1⎜ ⎜ ⎜ ⎜ ⎜ ⎜11+(17)2⎟ ⎟ ⎟ ⎟ ⎟ ⎟

=cos123+cos1(750)

We know that,

cos1x+cos1y=cos1{xy1x21y2}

Therefore,

=cos123×7501(23)2 1(750)2

=cos1{1435059150}

=cos1{143505350}

=cos1{145350}

Hence, this is the answer.


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