Question

If `cosθ=1/sqrt(2)`, where θ is an acute angle, then find the value of sinθ.

Answer 1

`cosθ=1/sqrt(2)`

`cos^2theta=(1/sqrt2)^2=1/2`

`cos^2theta+ sin^2theta=1`

`1/2+sin^2theta=1`

`sin^2theta=1-1/2=1/2`

`sintheta=sqrt(1/2)=1/sqrt2`