What is the general solution for sin(θ)= 9/13 ?

The general solution for sin(θ)= 9/13 is θ=0.76468…+2pin,θ=pi-0.76468…+2pin

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sin(θ)= 9/13

sin (θ) = \frac{9}{13}

θ = 0.76468 \dots + 2 πn, θ = π - 0.76468 \dots + 2 πn

Degrees

θ = 43.81306 \dots^{\circ} + 36 0^{\circ} n, θ = 136.18693 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{9}{13}

Apply trig inverse properties

sin (θ) = \frac{9}{13}

General solutions for

sin (θ) = \frac{9}{13}

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

θ = arcsin (\frac{9}{13}) + 2 πn, θ = π - arcsin (\frac{9}{13}) + 2 πn

θ = arcsin (\frac{9}{13}) + 2 πn, θ = π - arcsin (\frac{9}{13}) + 2 πn

Show solutions in decimal form

θ = 0.76468 \dots + 2 πn, θ = π - 0.76468 \dots + 2 πn

8 sin (θ) - 4 csc (θ) = 0

sin (x) = - \frac{3 10}{10}

cos (θ) = \frac{1}{58}

cos (4 x + 4) = sin (10 x + 44)

4 tan^{2} (x) - 3 sec^{2} (x) = 0

What is the general solution for sin(θ)= 9/13 ?
The general solution for sin(θ)= 9/13 is θ=0.76468…+2pin,θ=pi-0.76468…+2pin