Question

( frac{sin left(90^{circ}-thetaright) sec left(180^{circ}-thetaright) sin (-theta)}{sin left(180^{circ}+thetaright) cot left(360^{circ}-thetaright) operatorname{cosec}left(90^{circ}+thetaright)} )

11th - 12th Class

Maths

Solution

4.0 (1 ratings)

Sin (90-θ) sec (180-θ) sin (-θ)/sin (180+θ) cot (360-θ) cosec (90+θ)

( frac{sin (90-theta) sec (180-theta) sin (-theta)}{sin (180+theta) cot left(360^{circ}-thetaright) operatorname{cosec}(90+theta)} )
( =frac{(cos theta)(+sec theta) cdot(+sin theta)}{(+sin theta)(+cot theta)(sec theta)} )
( =frac{cos theta}{cot theta} )
( =frac{cos theta}{sin theta} )
( =frac{cos theta sin theta}{sin theta} )
( =sin theta )