Question

The value of x which will satisfy the equation :

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

___

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