What is the general solution for sin(θ)=-6/7 ?

The general solution for sin(θ)=-6/7 is θ=-1.02969…+2pin,θ=pi+1.02969…+2pin

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sin(θ)=-6/7

sin (θ) = - \frac{6}{7}

θ = - 1.02969 \dots + 2 πn, θ = π + 1.02969 \dots + 2 πn

Solution steps

sin (θ) = - \frac{6}{7}

Apply trig inverse properties

θ = arcsin (- \frac{6}{7}) + 2 πn, θ = π + arcsin (\frac{6}{7}) + 2 πn

Show solutions in decimal form

θ = - 1.02969 \dots + 2 πn, θ = π + 1.02969 \dots + 2 πn

a sin (θ) = b cos (θ)

- 9 tan^{2} (θ) + 12 tan (θ) - 4 = 0

- 5 cos (x) = 0

2 sin^{2} (θ) - sin (θ) = 3

tan (a) = \frac{5}{4}

What is the general solution for sin(θ)=-6/7 ?
The general solution for sin(θ)=-6/7 is θ=-1.02969…+2pin,θ=pi+1.02969…+2pin