What is the general solution for sin(θ)= 15/17 ?

The general solution for sin(θ)= 15/17 is θ=1.08083…+2pin,θ=pi-1.08083…+2pin

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sin(θ)= 15/17

sin (θ) = \frac{15}{17}

θ = 1.08083 \dots + 2 πn, θ = π - 1.08083 \dots + 2 πn

Degrees

θ = 61.92751 \dots^{\circ} + 36 0^{\circ} n, θ = 118.07248 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{15}{17}

Apply trig inverse properties

sin (θ) = \frac{15}{17}

General solutions for

sin (θ) = \frac{15}{17}

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

θ = arcsin (\frac{15}{17}) + 2 πn, θ = π - arcsin (\frac{15}{17}) + 2 πn

θ = arcsin (\frac{15}{17}) + 2 πn, θ = π - arcsin (\frac{15}{17}) + 2 πn

Show solutions in decimal form

θ = 1.08083 \dots + 2 πn, θ = π - 1.08083 \dots + 2 πn

sin (θ) = cos (2 θ)

13 sin (x) + 6 = sin (x)

csc^{4} (x) - 4 csc^{2} (x) = 0

tan^{2} (x) - 2 sec (x) = - 1

cos (2 θ) + 14 sin^{2} (θ) = 10

What is the general solution for sin(θ)= 15/17 ?
The general solution for sin(θ)= 15/17 is θ=1.08083…+2pin,θ=pi-1.08083…+2pin