What is the general solution for sin(θ)= 7/12 ?

The general solution for sin(θ)= 7/12 is θ=0.62282…+2pin,θ=pi-0.62282…+2pin

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sin(θ)= 7/12

sin (θ) = \frac{7}{12}

θ = 0.62282 \dots + 2 πn, θ = π - 0.62282 \dots + 2 πn

Degrees

θ = 35.68533 \dots^{\circ} + 36 0^{\circ} n, θ = 144.31466 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{7}{12}

Apply trig inverse properties

sin (θ) = \frac{7}{12}

General solutions for

sin (θ) = \frac{7}{12}

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

θ = arcsin (\frac{7}{12}) + 2 πn, θ = π - arcsin (\frac{7}{12}) + 2 πn

θ = arcsin (\frac{7}{12}) + 2 πn, θ = π - arcsin (\frac{7}{12}) + 2 πn

Show solutions in decimal form

θ = 0.62282 \dots + 2 πn, θ = π - 0.62282 \dots + 2 πn

3 cos (2 x) + 2 sin^{2} (x) = 2

x, cos (3 x) = 1

sec (x) + tan (x) = 2

\frac{1}{cos ^{2} ( x )} = \frac{4}{3}

cos (A) = - \frac{1}{2}

What is the general solution for sin(θ)= 7/12 ?
The general solution for sin(θ)= 7/12 is θ=0.62282…+2pin,θ=pi-0.62282…+2pin