Question

If sinθ−cosθ=0, then Find the value of (sinθ+cosθ).​

Answer 1

Answer:

If sinx-cosx=0,then sinx=cosx, which is possible at x= pi/4 or 5(pi/4)

implying that sinx+cosx=sqrt(2) or -sqrt(2) if x is in the first and third quadrant respectively.

Answer 2

Answer:

The value of (sinθ+cosθ) =√2

Step-by-step explanation:

sinθ−cosθ=0

⇒sinθ=cosθ

⇒tanθ=1

⇒θ=45°

∴sinθ+cosθ=

=sin45°−cos45°

=1/√2+1/√2

=2/√2

=√2

Hence, the answer is √2

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