Question

if theta =30 then verify

sin 2theta =2 sin theta cos theta
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Answer 1

HOPE THIS HELPS...........

Answer 2

In trigonometry, there are total 6 ratios and they are sin, cos, tan, cosec, sec and cot.

Explanation:

In trigonometry, there are total 6 ratios and they are sin, cos, tan, cosec, sec and cot.

These are expressed as the ratio of the sides of a right triangle for a particular angle $\theta$.

Given : $\theta=30^{\circ}$

To verify : $\sin2\theta=2\sin\theta\cos\theta$

Consider L.H.S. $\sin2\theta$

Put $\theta=30^{\circ}$

$\sin2(30^{\circ})=\sin60^{\circ}=\dfrac{\sqrt{3}}{2}$  (1)

Consider R.H.S. $2\sin\theta\cos\theta$

Put $\theta=30^{\circ}$

$2\sin30^{\circ}\cos30^{\circ}$

$=2(\dfrac{1}{2})(\dfrac{\sqrt{3}}{2})=\dfrac{\sqrt{3}}{2}$  (1)

From (1) and (2) , L.H.S = R.H.S.

Hence Verified.

# Learn more :

If theta= 45degree, verify Sin 2theta=2Sin theta*Cos theta

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