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Popular >

-2sin^2(θ)+10sin(θ)-3=3sin(θ),0<= θ<360

Solution

- 2 sin^{2} (θ) + 10 sin (θ) - 3 = 3 sin (θ), 0^{\circ} \leq θ < 36 0^{\circ}

Solution

θ = 3 0^{\circ}, θ = 15 0^{\circ}

+1

Solution steps

- 2 sin^{2} (θ) + 10 sin (θ) - 3 = 3 sin (θ), 0^{\circ} \leq θ < 36 0^{\circ}

Solve by substitution

sin (θ) = \frac{1}{2}, sin (θ) = 3

sin (θ) = \frac{1}{2}, 0 \leq θ < 36 0^{\circ} : θ = 3 0^{\circ}, θ = 15 0^{\circ}

sin (θ) = 3, 0 \leq θ < 36 0^{\circ} :

No Solution

Combine all the solutions

θ = 3 0^{\circ}, θ = 15 0^{\circ}

Popular Examples

cot^2(θ)+4csc(θ)=-5

cot^{2} (θ) + 4 csc (θ) = - 5

10sin(a)+7sin(a)+1sin(a)+8sin(a)=48

10 sin (a) + 7 sin (a) + 1 sin (a) + 8 sin (a) = 48

2cos^2(θ)+7sin(θ)=5

2 cos^{2} (θ) + 7 sin (θ) = 5

(2sqrt(3))/3 =sec(θ)

\frac{2 3}{3} = sec (θ)

4(sin(x))^2-15sin(x)-4=0

4 (sin (x))^{2} - 15 sin (x) - 4 = 0

Frequently Asked Questions (FAQ)

What is the general solution for -2sin^2(θ)+10sin(θ)-3=3sin(θ),0<= θ<360 ?
The general solution for -2sin^2(θ)+10sin(θ)-3=3sin(θ),0<= θ<360 is θ=30,θ=150