Question

If cos^2θ = 3/5 , then find sin^2 θ​

Answer 1

Answer:

sin²θ = $\frac{2}{5}$

Step-by-step explanation:

Given that cos²θ​ = 3/5

We know that basic trigonometric identity that states

 sin²θ + ​cos²θ = 1

Substituting the value of  cos²θ​ in the above identity, we get

sin²θ +  $\frac{3}{5}$ = 1

Taking all the constants to the other side

sin²θ = 1 - $\frac{3}{5}$

Taking LCM

sin²θ = $\frac{5-3}{5}$

​​sin²θ = $\frac{2}{5}$

which is the required answer