What is the general solution for sin(θ)=-24/25 ?

The general solution for sin(θ)=-24/25 is θ=-1.28700…+2pin,θ=pi+1.28700…+2pin

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sin(θ)=-24/25

sin (θ) = - \frac{24}{25}

θ = - 1.28700 \dots + 2 πn, θ = π + 1.28700 \dots + 2 πn

Degrees

θ = - 73.73979 \dots^{\circ} + 36 0^{\circ} n, θ = 253.73979 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - \frac{24}{25}

Apply trig inverse properties

sin (θ) = - \frac{24}{25}

General solutions for

sin (θ) = - \frac{24}{25}

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

θ = arcsin (- \frac{24}{25}) + 2 πn, θ = π + arcsin (\frac{24}{25}) + 2 πn

θ = arcsin (- \frac{24}{25}) + 2 πn, θ = π + arcsin (\frac{24}{25}) + 2 πn

Show solutions in decimal form

θ = - 1.28700 \dots + 2 πn, θ = π + 1.28700 \dots + 2 πn

cos (2 x) + 7 sin (x) - 4 = 0

tan (\frac{θ}{8}) + 3 = 0

sin (\frac{θ}{2}) - 1 = 0, 0 \leq θ \leq 2 π

cos (2 x) = - \frac{2}{2}, 0 \leq x \leq 2 π

\frac{3 + sin ^{2} ( θ )}{cos ( θ ) - 2} = 3 cos (θ)

What is the general solution for sin(θ)=-24/25 ?
The general solution for sin(θ)=-24/25 is θ=-1.28700…+2pin,θ=pi+1.28700…+2pin