Question

if 5 sin^2A + cos^2a =2 find sin a

Answer 1

Answer:

5 sin^2 A + cos^2 A = 2

We know that:

cos^2 Ø + sin^2 Ø = 1

=> cos^2 Ø = 1 - sin^2 Ø

=> 5 sin^2 A + (1 - sin^2 A) = 2

=> 5 sin^2 A + 1 - sin^2 A = 2

=> 4 sin^2 A = 1

=> sin^2 A = 1/4

=> sin A = 1/2

This is possible only when:

A = 30°

______________

Answer 2

Answer:

As we know that sin^2 A= 2cosA.sinA Now sin^2=cosA using the identity we have 2 cos A .sin A =cosA

Step-by-step explanation:

therefore sin A =1/2 A=30°