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Question

Let h(x)=tan2{2sin1(cos(sin13x))+2cos1(sin(cos13x))3}; where x[13,13], then the value of 10r=3h(1r2)=

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Solution

Given : h(x)=tan2{2sin1(cos(sin13x))+2cos1(sin(cos13x))3}
=tan2{2sin1(cos(cos119x2))+2cos1(sin(sin119x2))3}
=tan2{2sin119x2+2cos119x23})
=tan2{23×π2} (sin1y+cos1y=π2,|y|1)
=3 (constant function)
Also, 13x13
10r=3h(1r2)=8×3=24

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