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 = 118.95502 \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 (x) = \frac{- 2}{3}

4 + 4 cos (x) = - 6 cos (x)

2 cos (\frac{x}{2}) = 3, 0 \leq x \leq 2 π

sin (A) = \frac{4}{5}

3 tan^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

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