Question

What is value of sinA + cosA​

Answer 1

Answer:

I think your question is this

sin^2A+cos^2A=1

Answer 2

sinA + cosA  

= 1. sinA + 1. cosA  

= √2( 1/√2 sin A + 1/√2 cos A) (using √(1² + 1²) as the factor introduced)  

= √2(sinA cos45° + cosAsin45°)  

= √2sin(A + 45°)  

Maximum value of sin(A + 45°) = 1 (at A = 45°) for 0 ≤ A ≤ 90°  

Therefore maximum value of sinA + sinB  

= maximum value of √2sin(A + 45°) for 0 ≤ A ≤ 90°  

= √2 x 1  

= √2