Question

If root 3 tan theta is equals to 3 sin theta then find the value of sin theta

Answer 1

let, theta=x

given- 3tanx=3sinx

so if we decide RHS and LHS by 3 we get

sinx=tanx

if we try another way

3tanx=3sinx

move 3 to RHS and sinx to LHS we get

tanx/sinx=1. -------(1)

tanx =sinx/cosx. ------(2)

substitute 2 in 1

sinx/casx/sinx=1

sin²x/cosx=1

sin²x=cosx

sinx=√cosx

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