What is the general solution for sin(θ)=-2/7 ?

The general solution for sin(θ)=-2/7 is θ=-0.28975…+2pin,θ=pi+0.28975…+2pin

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sin(θ)=-2/7

sin (θ) = - \frac{2}{7}

θ = - 0.28975 \dots + 2 πn, θ = π + 0.28975 \dots + 2 πn

Solution steps

sin (θ) = - \frac{2}{7}

Apply trig inverse properties

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

Show solutions in decimal form

θ = - 0.28975 \dots + 2 πn, θ = π + 0.28975 \dots + 2 πn

\frac{2}{π} = cos (x)

7 cos (b) + 9 = 3 cos (b) + 8

tan^{2} (θ) + sec (θ) - 2 = 0

tan (x) - 1 = - 3 + 3 cot (x)

14 cos^{2} (x) = 7

What is the general solution for sin(θ)=-2/7 ?
The general solution for sin(θ)=-2/7 is θ=-0.28975…+2pin,θ=pi+0.28975…+2pin