What is the general solution for sin(θ)=-7/25 ?

The general solution for sin(θ)=-7/25 is θ=-0.28379…+2pin,θ=pi+0.28379…+2pin

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sin(θ)=-7/25

sin (θ) = - \frac{7}{25}

θ = - 0.28379 \dots + 2 πn, θ = π + 0.28379 \dots + 2 πn

Solution steps

sin (θ) = - \frac{7}{25}

Apply trig inverse properties

θ = arcsin (- \frac{7}{25}) + 2 πn, θ = π + arcsin (\frac{7}{25}) + 2 πn

Show solutions in decimal form

θ = - 0.28379 \dots + 2 πn, θ = π + 0.28379 \dots + 2 πn

cos (\frac{θ}{2}) = - \frac{3}{2}

2 sin^{2} (x) = - sin (x)

3 sec (θ) = 2

cosh (x) = - 1

5 sin (2 θ) = 7 cos (2 θ)

What is the general solution for sin(θ)=-7/25 ?
The general solution for sin(θ)=-7/25 is θ=-0.28379…+2pin,θ=pi+0.28379…+2pin