What is the general solution for sin(θ)= 7/9 ?

The general solution for sin(θ)= 7/9 is θ=0.89112…+2pin,θ=pi-0.89112…+2pin

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sin(θ)= 7/9

sin (θ) = \frac{7}{9}

θ = 0.89112 \dots + 2 πn, θ = π - 0.89112 \dots + 2 πn

Degrees

θ = 51.05755 \dots^{\circ} + 36 0^{\circ} n, θ = 128.94244 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{7}{9}

Apply trig inverse properties

sin (θ) = \frac{7}{9}

General solutions for

sin (θ) = \frac{7}{9}

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

θ = arcsin (\frac{7}{9}) + 2 πn, θ = π - arcsin (\frac{7}{9}) + 2 πn

θ = arcsin (\frac{7}{9}) + 2 πn, θ = π - arcsin (\frac{7}{9}) + 2 πn

Show solutions in decimal form

θ = 0.89112 \dots + 2 πn, θ = π - 0.89112 \dots + 2 πn

cos (θ) = 0.97617

cos (a) = 0, 99 9^{99} x, \frac{sin ( a )}{cos ( a )} x

sin (\frac{x}{2} + π) = \frac{3}{2 3}

cos (b) = \frac{cos ( 8 0 ^{\circ} )}{cos ( 5 0 ^{\circ} )}

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

What is the general solution for sin(θ)= 7/9 ?
The general solution for sin(θ)= 7/9 is θ=0.89112…+2pin,θ=pi-0.89112…+2pin