Question

if 2sin2theta=root3 find the value of cos 2 theta​

Answer 1

2sin2theta =√3

2(sintheta)=√3

sin theta =√3/2 (1)

sin60° = √3/2

sin = opp/hyp

sin60°= √3/2

LET K BE THE COMMON FACTOR WHICH IS GREATER THAN 0

√3K AND 2K

by pythogoras theorm

AC²=AB²+BC²

(2K)²=(√3k)²+BC

4K²=3K²+BC

BC=4K²/3K²

BC= 4/3

by applying formula for for cos

you'll get the value