What is the general solution for sin(θ)=-7/8 ?

The general solution for sin(θ)=-7/8 is θ=-1.06543…+2pin,θ=pi+1.06543…+2pin

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sin(θ)=-7/8

sin (θ) = - \frac{7}{8}

θ = - 1.06543 \dots + 2 πn, θ = π + 1.06543 \dots + 2 πn

Degrees

θ = - 61.04497 \dots^{\circ} + 36 0^{\circ} n, θ = 241.04497 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - \frac{7}{8}

Apply trig inverse properties

sin (θ) = - \frac{7}{8}

General solutions for

sin (θ) = - \frac{7}{8}

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

θ = arcsin (- \frac{7}{8}) + 2 πn, θ = π + arcsin (\frac{7}{8}) + 2 πn

θ = arcsin (- \frac{7}{8}) + 2 πn, θ = π + arcsin (\frac{7}{8}) + 2 πn

Show solutions in decimal form

θ = - 1.06543 \dots + 2 πn, θ = π + 1.06543 \dots + 2 πn

sin^{2} (x) sec (x) cot (x) = \frac{3}{2}

x, sin (y) = y cos (2 x)

2 sin (\frac{π}{2} - θ) = sin (- θ)

csc (x) cot (x) + cot (x) = 0

tan (x) = \frac{50}{36}

What is the general solution for sin(θ)=-7/8 ?
The general solution for sin(θ)=-7/8 is θ=-1.06543…+2pin,θ=pi+1.06543…+2pin