Question

If 2sin theta=root 3 then find the value of cos theta and cot theta

Answer 1

Answer:

2sinΘ = √3

sinΘ=√3/2

Θ = 60°

cosΘ = 1/2

cotΘ = 1/√3

Step-by-step explanation:

Answer 2

$\cos 30=\dfrac{1}{2}$  and $\cot 30=\sqrt{3}$

Step-by-step explanation:

We have,

$2\sin \theta=\sqrt{3}$

To find, the value of $\cos \theta$ and $\cot \theta$ = ?

∴ $2\sin \theta=\sqrt{3}$

⇒ $\sin \theta=\dfrac{\sqrt{3} }{2} =\sin 60$

⇒ $\theta$ = 60°

∴ $\cos \theta$

= $\cos 30=\dfrac{1}{2}$

Also, $\cot 30=\sqrt{3}$

∴ $\cos 30=\dfrac{1}{2}$  and $\cot 30=\sqrt{3}$

Thus, the value of $\cos 30=\dfrac{1}{2}$ and $\cot 30=\sqrt{3}$.