Question

if sin theta + cos theta is equal to root 2 then theta is equal to​

Answer 1

Step-by-step explanation:

Given sinA+cosA=√2

Squaring on both sides

(sinA+cosA)^2=(√2)^2

sin^2A+cos^2A+2×sinA×cosA= 2

1+2× sinA×cosA=2

2×sinA×cosA=2-1

sinA×cosA=1/2

sinA×cosA=(1/√2)×(1/√2)

sinA=1/√2 and cosA=1/√2

sinA=cosA=1/√2

A=45°

Therefore A that means theta is 45°.

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