Question

Sin theta + cos theta =1 fin the value of sin2 theta

Answer 1

Step-by-step explanation:

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Answer 2

Given:

• sinθ + cosθ = 1.

To Find:

• The value of sin2θ.

Answer:

We know that sin2θ= 2sinθ.cosθ .

So we can find its value in order to find sin2θ.

Now , taking the given equation ,

⇒ ( sinθ+ cosθ ) = 1.

⇒ ( sin θ+ cosθ)² = 1².

⇒sin²θ+ cos²θ+ 2sinθ.cosθ = 1.

⇒1 + 2sinθ . cosθ = 1.

⇒2sinθ . cosθ = 1-1.

⇒sin2θ = 0

Hence the required answer is 0.