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Question

If sin135+cos1(1213)=sin1 C,then C=

A
6556
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B
2465
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C
1665
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D
5665
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Solution

The correct option is D 5665
Given sin1C=sin135+cos11213C=sin(sin135+cos11213)Using sin(A+B)=sin A cos B+cos A sin BC=35×1213+19251144169C=5665.

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