Question

If 2Sin 2θ = 3 the value of ‘θ’ is

A. 900

B. 600

C. 300

D. 450
please tell me the answer ​

Answer 1

Answer:

b.600 is the answer hope it helps you

Answer 2

Answer:

30°

Step-by-step explanation:

As per the information provided in the question, We have :

• 2 Sin 2θ = √3

We are asked to find the value of θ.

In order to find the value of θ, We need to simplify the expression.

Simplifying the expression :

$\longmapsto \rm 2 Sin 2\theta = \sqrt{3}$

Transposing 2 to the right hand side,

$\longmapsto \rm Sin 2\theta = \dfrac{\sqrt{3}}{2}$

$\longmapsto\rm Sin 2\theta = \dfrac{\sqrt{3}}{2} = Sin 60^{ \circ}$

$\longmapsto\rm Sin 2\theta = Sin 60^{ \circ}$

Comparing both sides,

$\longmapsto\rm 2\theta = 60^{ \circ}$

$\longmapsto \rm \theta = \dfrac{60}{2}= 30^{ \circ}$

∴ The value of θ is 30°.

More to know :

• $\begin{gathered}\qquad \sf \: ( I ) \:sin^2\:\theta \:+\:cos^2 \:\:=\:1\:\\\\\end{gathered}$

• $\begin{gathered}\qquad \sf \: ( II ) \:sin^2\:\theta \:=\: 1 \:-\:cos^2 \:\:\:\\\\\end{gathered}$

• $\begin{gathered}\qquad \sf \: ( III ) \:\:cos^2 \:\:=\:1 \:-\:sin^2\:\theta \:\\\\\end{gathered}$

• $\begin{gathered}\qquad \sf \: ( IV ) \:\:\:1 \:+\:cot^2\:\theta \:=\: cosec^2\:\theta \:\\\\\end{gathered}$

• $\begin{gathered}\qquad \sf \: ( V ) \:\:\:cosec^2\:\theta \:-\:cot^2\:\theta \:=\: 1 \:\\\\\end{gathered}$

• $\begin{gathered}\qquad \sf \: ( VI ) \:\:\:cosec^2\:\theta \:=\:cot^2\:\theta \:+\: 1 \:\\\\\end{gathered}$