What is the general solution for sin(θ)=(sqrt(58))/8 ?

The general solution for sin(θ)=(sqrt(58))/8 is θ=1.25961…+2pin,θ=pi-1.25961…+2pin

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sin(θ)=(sqrt(58))/8

sin (θ) = \frac{58}{8}

θ = 1.25961 \dots + 2 πn, θ = π - 1.25961 \dots + 2 πn

Degrees

θ = 72.17045 \dots^{\circ} + 36 0^{\circ} n, θ = 107.82954 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{58}{8}

Apply trig inverse properties

sin (θ) = \frac{58}{8}

General solutions for

sin (θ) = \frac{58}{8}

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

θ = arcsin (\frac{58}{8}) + 2 πn, θ = π - arcsin (\frac{58}{8}) + 2 πn

θ = arcsin (\frac{58}{8}) + 2 πn, θ = π - arcsin (\frac{58}{8}) + 2 πn

Show solutions in decimal form

θ = 1.25961 \dots + 2 πn, θ = π - 1.25961 \dots + 2 πn

cos (θ) = - 0.6

3 cos (3 x) - 15 sin (3 x) = 0

2 tan (x) - 3 cot (x) = 0

8 sin (2 x) + 15 cos (x) = 0

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

What is the general solution for sin(θ)=(sqrt(58))/8 ?
The general solution for sin(θ)=(sqrt(58))/8 is θ=1.25961…+2pin,θ=pi-1.25961…+2pin