Question

secA(1-sin^2A)=cosA​

Answer 1

Answer:

Step-by-step explanation:

LHS

= (sin A - cos A)^2

= sin^2 A + cos^2 A - 2 sin A cos A

= 1 - 2 sin A cos A

because sin^2 x + cos^2 x = 1

so,

= 1 - 2sinAcosA

= 1- sin2A because sin 2A = 2sinAcosA

= 1 - sin 2A = RHS