Question

sin theta (1+sin^2 theta)=cos^2 theta​

Answer 1

Step-by-step explanation:

Trigonometric Functions

Trigonometric Functions of Sum and Difference of Two angles

If sintheta + costheta = 1 ...

MATHS

If sinθ+cosθ=1, then the value of sin2θ is equal to:

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ANSWER

Given that sinθ+cosθ=1

now squaring both side we have

(sinθ+cosθ)

2

=1

2

sin

2

θ+cos

2

θ+2sinθcosθ=1

1+2sinθcosθ=1 (sin

2

θ+cos

2

θ=1)

2sinθcosθ=0

sin2θ=0 (sin2θ=2sinθcosθ)

hence option C is correct.

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