Question

If sin θ =7/25, where θ is an acute angle, find the value of cos θ.

Answer 1

`sintheta=7/25`

we know `sin theta="Opposite"/"Hypotunes"=p/h`

`therefore p/h=7/25`                             [∵ Opposite = Perpendicular = p]

p=7k, h=25k

Let the adjacent (base) side be b.

Thus `b=sqrt((25k)^2-(7k)^2)=24k`

`costheta=(24k)/(25k)=24/25`