Question

If tanθ=1/√3 find the value of sin θ.​

Answer 1

Answer:

tan theta = 1/✓3

tan theta = tan 30

theta = 30 degree

sin theta = sin thirty = 1/2

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Answer 2

Answer:

sinθ=1/√3+1

Explanation:

tanθ=1/√3

LHS

tanθ=sinθ/cosθ

=sinθ/√1-sin²θ

now,

tanθ=1/√3

sinθ/√1-sin²θ=1/√3

(cross multiply)

√3sinθ=√1-sin²θ

√3sinθ=√1-√sin²θ

√3sinθ=1-sinθ

√3sinθ+sinθ=1

sinθ(√3+1)=1

sinθ=1/√3+1