Question

sin theta =3/2 find other trigonometric ratios​

Answer 1

Given  : sinθ=23

 Let us first draw a right △ABC,∠B=90 degrees and ∠A=θ

We know that sin θ=ACBC=Hypotenuse(perpendicular)=23

 By pythagoras Theorem:

 AC2=AB2+BC2

 or AB2=AC2−BC2=4k2−3k2=k2

AB=k

 Find other T-rations using their defination:

 cos=ACAB=21

 tanθ=ABBC=13

 cscθ=sinθ1=3

I hope it's help you