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Popular >

sin(θ)=(sqrt(3))/2 ,0<= θ<= 4pi

Solution

sin (θ) = \frac{3}{2}, 0 \leq θ \leq 4 π

Solution

θ = \frac{π}{3}, θ = \frac{2 π}{3}, θ = \frac{7 π}{3}, θ = \frac{8 π}{3}

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Solution steps

sin (θ) = \frac{3}{2}, 0 \leq θ \leq 4 π

General solutions for

sin (θ) = \frac{3}{2}

θ = \frac{π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn

Solutions for the range

0 \leq θ \leq 4 π

θ = \frac{π}{3}, θ = \frac{2 π}{3}, θ = \frac{7 π}{3}, θ = \frac{8 π}{3}

Popular Examples

sin(2x)=(sqrt(3))/2 ,0<= x<= 360

sin (2 x) = \frac{3}{2}, 0^{\circ} \leq x \leq 36 0^{\circ}

3sin^2(x)+8cos^2(x)=6

3 sin^{2} (x) + 8 cos^{2} (x) = 6

tan (θ) = \frac{2}{8}

4tan^2(x)+7tan(x)-4=0,cot(2x)

4 tan^{2} (x) + 7 tan (x) - 4 = 0, cot (2 x)

tan^3(x)=tan^2(x),0<= x<= 2pi

tan^{3} (x) = tan^{2} (x), 0 \leq x \leq 2 π

Frequently Asked Questions (FAQ)

What is the general solution for sin(θ)=(sqrt(3))/2 ,0<= θ<= 4pi ?
The general solution for sin(θ)=(sqrt(3))/2 ,0<= θ<= 4pi is θ= pi/3 ,θ=(2pi)/3 ,θ=(7pi)/3 ,θ=(8pi)/3