What is the general solution for 4sin^2(θ)-11sin(θ)+7=0 ?

The general solution for 4sin^2(θ)-11sin(θ)+7=0 is θ= pi/2+2pin

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4sin^2(θ)-11sin(θ)+7=0

4 sin^{2} (θ) - 11 sin (θ) + 7 = 0

θ = \frac{π}{2} + 2 πn

Solution steps

4 sin^{2} (θ) - 11 sin (θ) + 7 = 0

Solve by substitution

sin (θ) = \frac{7}{4}, sin (θ) = 1

sin (θ) = \frac{7}{4} :

No Solution

sin (θ) = 1 : θ = \frac{π}{2} + 2 πn

Combine all the solutions

θ = \frac{π}{2} + 2 πn

cos^{2} (x) + cos^{4} (x) = 1

- 3 cos (θ) = 2

tan (x) = \frac{1}{3} 3

4 cos (y) = 0

tan (θ) = 0.4

What is the general solution for 4sin^2(θ)-11sin(θ)+7=0 ?
The general solution for 4sin^2(θ)-11sin(θ)+7=0 is θ= pi/2+2pin