Question

if 3sin²theta=2 ¼, find the value of theta​

Answer 1

Step-by-step explanation:

Given :-

3 Sin^2 θ = 2 1/4

To find:-

Find the value of θ?

Solution:-

Given that :

3 Sin^2 θ = 2 1/4

=>3 Sin^2 θ = [(2×4)+1]/4

=>3 Sin^2 θ = (8+1)/4

=>3 Sin^2 θ = 9/4

=>Sin^2 θ = (9/4)/3

=>Sin^2 θ = 9/12

=>Sin^2 θ = 3/4

=>Sin θ = √(3/4)

=>Sin θ = √3/2

(if θ is acute angle)

=>Sin θ = Sin 60°

=>θ = 60°

Answer:-

The value of θ for the given problem is 60°

Check:-

3 Sin^2 60°

=>3 (√3/2)^2

=>3(3/4)

=>9/4

=>2 1/4

Verified the given relation.

Used formula:-

• Sin 60° = √3/2