Question

if sin theta = 1 then the value of sin 2theta is?​

Answer 1

Answer:

Step-by-step explanation:

So, the value of sin2θ is zero (0) if sinθ+cosθ=1. So this is the required answer. Hence option (A) is correct.

Answer 2

SOLUTION

TO DETERMINE

If sin θ = 1 then the value of sin 2θ is

FORMULA TO BE IMPLEMENTED

We are aware of the Trigonometric formula

$\sf sin 2 \theta = 2 sin\theta \: cos\theta$

EVALUATION

Here it is given that

$\sf sin \theta = 1$

Now we have

$\sf sin 2 \theta$

$\sf = 2 sin\theta \: cos\theta$

$\sf = 2 sin\theta \: \sqrt{1 - { sin}^{2}\theta }$

$\sf = 2 \times 1 \times \: \sqrt{1 - { 1}^{2} }$

$\sf = 2 \times 1 \times \: \sqrt{1 - 1 }$

$\sf = 2 \times 1 \times 0$

$\sf =0$

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