Question

Prove : (cot theta)/(cos^3 theta * cos e * c * theta + sin theta * cos theta) = 1​

Answer 1

Answer:

cot @*cos@ + sin @ = cos^2 @ / sin @ + sin @

cot @*cos@ + sin @ = cos^2 @ / sin @ + sin @.....(writing cot @ = cos @/sin @)

cot @*cos@ + sin @ = cos^2 @ / sin @ + sin @.....(writing cot @ = cos @/sin @)Now,

cot @*cos@ + sin @ = cos^2 @ / sin @ + sin @.....(writing cot @ = cos @/sin @)Now,cos ^2@/sin @ + sin @ = cos^@ + sin^@ / sin @

cot @*cos@ + sin @ = cos^2 @ / sin @ + sin @.....(writing cot @ = cos @/sin @)Now,cos ^2@/sin @ + sin @ = cos^@ + sin^@ / sin @= 1/sin @ = cosec @ = RHS

cot @*cos@ + sin @ = cos^2 @ / sin @ + sin @.....(writing cot @ = cos @/sin @)Now,cos ^2@/sin @ + sin @ = cos^@ + sin^@ / sin @= 1/sin @ = cosec @ = RHSHope this helps you !