Question

one plus sin squared theta equal to 3 sin theta cos theta

Answer 1

look out above please...i have given the answer in the form of general solution of trigonometry

Answer 2

TO FIND

the general equation of 1 + sin^2θ = 3sinθcosθ

GIVEN

1 + sin^2θ = 3sinθcosθ

SOLUTION

1 + sin^2θ = 3sinθcosθ

cos^2θ + sin^2θ + sin^2θ = 3sinθcosθ

cos^2θ+2sin^2θ-3sinθcosθ=0

2sin^2θ - 2sinθcosθ - sinθcosθ + cos^2θ = 0

2sinθ(sinθ-cosθ)-cosθ(sionθ-cosθ)=0

(2sinθ-cosθ)(sinθ-cosθ)=0

ANSWER

now equating with zero

sinθ-cosθ=0

tanθ=1

θ=nπ+π/4

n∈I

2sinθ-cosθ=0

tanθ=1/2

θ=nπ+α

α=tan^-1(1/2)

n∈I