What is the general solution for sin(θ)=-(sqrt(7))/4 ?

The general solution for sin(θ)=-(sqrt(7))/4 is θ=-0.72273…+2pin,θ=pi+0.72273…+2pin

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sin(θ)=-(sqrt(7))/4

sin (θ) = - \frac{7}{4}

θ = - 0.72273 \dots + 2 πn, θ = π + 0.72273 \dots + 2 πn

Solution steps

sin (θ) = - \frac{7}{4}

Apply trig inverse properties

θ = arcsin (- \frac{7}{4}) + 2 πn, θ = π + arcsin (\frac{7}{4}) + 2 πn

Show solutions in decimal form

θ = - 0.72273 \dots + 2 πn, θ = π + 0.72273 \dots + 2 πn

x, sin (x) = e^{y}

sin^{4} (x) - sin^{2} (x) + 1 = 0

tan^{3} (x) - tan^{2} (x) - 3 tan (x) + 3 = 0, tan (x) > 1

sin (2 0^{\circ} - θ) - cos (1 0^{\circ} + 3 θ) = 0

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

What is the general solution for sin(θ)=-(sqrt(7))/4 ?
The general solution for sin(θ)=-(sqrt(7))/4 is θ=-0.72273…+2pin,θ=pi+0.72273…+2pin