Question

if 2 sin squared theta =

under root 3 then find the value of theta​

Answer 1

Answer:

1.973 is the answar

Step-by-step explanation:

यही सही उत्तर है

Answer 2

Question :-

$\sf \: \: if \: 2 { \sin}^{2} \theta = \sqrt{3} \: \: then \: find \: \theta$

Answer :-

$\implies \boxed{ \: \theta = \frac{1}{2} { \cos}^{ - 1} (1 - \sqrt{3} )} \:$

Explanation :-

We have ,

$\implies \sf \: 2 { \sin}^{2} \theta = \sqrt{3} \\ \\ \implies \: \sf{ \sin}^{2} \theta = \frac{ \sqrt{3} }{2} \\ \\ \because \: 1 - \cos2 \theta = 2 { \sin}^{2} \theta \\ \implies \: \frac{1 - \cos2 \theta}{2} = \frac{ \sqrt{3} }{2} \\ \\ \implies \: 1 - \cos2 \theta = \sqrt{3} \\ \\ \implies \: \cos2 \theta = 1 - \sqrt{3} \\ \\ \implies \:2 \theta = { \cos}^{ - 1} (1 - \sqrt{3} ) \\ \\ \implies \boxed{ \: \theta = \frac{1}{2} { \cos}^{ - 1} (1 - \sqrt{3} )}$