Question

Find X is (i) cos (5x - 40°) = sin 30° (ii) cosec (X +30°)= cot 45°​

Answer 1

As we know,

sin(90°-α) = cosα

∴sin30° = sin(90°-60°)

            =cos60°

∵cos(40°+x) = sin30°

⇒cos(40°+x) = cos60°

⇒40°+x = 60°

⇒x = 20°