Question

Find the value of x which will satisfy the equation:

$xcos\left(a\right)cos({90}^{\circ }-a)tan\left(a\right)tan({90}^{\circ }-a)sec\left(a\right)cosec\left(a\right)=1$

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Answer 1

cos (${90}^{\circ }$ - a) = sin a

tan (${90}^{\circ }$ - a) = cot a

Therefore, x cos (a) cos (${90}^{\circ }$ - a) tan (a) tan (${90}^{\circ }$ - a) sec (a) cosec(a) = 1

x cos a sin a tan a cot a sec a cosec a = 1

x =1