Question

If tan theta = √2 sin theta, find the value of sin theta
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Answer 1

Answer:

sin θ = 1/√2

Step-by-step explanation:

tan θ = √2 sin θ

sin θ/ cos θ = √2 sin θ

sin θ cancel out with sin θ

1/ cos θ = √2

cos θ = 1/√2  = B/H

Use Pythagoras theorem:

H² = P² + B²

(√2)² = P² + (1)²

2 = P² + 1

P² = 2 - 1

P² = 1

P = √1

P = 1

Sin θ = P/H

        = 1/√2

Answer 2

Step-by-step explanation:

tan theta = 2 sin theta

tan theta/sin theta = 2

but tan theta is equal to sin theta/ cos theta

sin theta / cos theta. sin theta = 2

1/ cos theta = 2

therefore cos theta = 1/2

( cos 60 = 1/2)

so value of theta is 60 degree