Question

if a and b are complementary angles and A=2B then sinA- sinB​

Answer 1

A = 2B

A and B are complementary.

So, A + B = 90°

=> 2B + B = 90°

=> 3B = 90°

=> B = 90°/3 = 30°

A = 2B

= 2(30°) = 60°

sin A = sin 60° = √3/2

sin B = sin 30° = 1/2

sin A - sin B = √3/2 - 1/2 = (√3 - 1)/2