If 7 sin2theta+3cos2theta=4,show tantheta=1/root3
Answers
Answered by
3
7 sin^2 ϴ + 3 cos ^2 ϴ = 4
-3 sin^2 ϴ - 3 cos^2 ϴ = - 3
_______________________
4 sin^2 ϴ = 1
Sin ϴ = 1/2
7x 1/4 + 3 cos^2 ϴ =4
3 cos^2 ϴ = 9/4
Cos^2 ϴ = 9/12
Cos ϴ = 3/2√3
Tan ϴ = sin ϴ/cos ϴ = 1x2√3/2x3 =√3/3=1/√3
-3 sin^2 ϴ - 3 cos^2 ϴ = - 3
_______________________
4 sin^2 ϴ = 1
Sin ϴ = 1/2
7x 1/4 + 3 cos^2 ϴ =4
3 cos^2 ϴ = 9/4
Cos^2 ϴ = 9/12
Cos ϴ = 3/2√3
Tan ϴ = sin ϴ/cos ϴ = 1x2√3/2x3 =√3/3=1/√3
Similar questions