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Question

The value of x which will satisfy the equation:

x×cos(a)×cos(90a)×tan(90a)×sec(a)×cosec(a)×tan(a)=1 is ___


Solution

As, cos(90a)=sin atan (90a)=cot aSo, x×cos(a)×cos(90a)×tan(90a)×sec(a)×cosec(a)×tan(a)=1x×cos(a)×sin(a)×cot(a)×sec(a)×cosec(a)×tan(a)=1x×(cos(a)×sec(a))×(sin(a)×cosec(a))×(cot(a)×tan(a))=1x×1×1×1=1x=1

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