What is the general solution for sin(θ)=0.82 ?

The general solution for sin(θ)=0.82 is θ=0.96141…+2pin,θ=pi-0.96141…+2pin

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sin(θ)=0.82

sin (θ) = 0.82

θ = 0.96141 \dots + 2 πn, θ = π - 0.96141 \dots + 2 πn

Solution steps

sin (θ) = 0.82

Apply trig inverse properties

θ = arcsin (0.82) + 2 πn, θ = π - arcsin (0.82) + 2 πn

Show solutions in decimal form

θ = 0.96141 \dots + 2 πn, θ = π - 0.96141 \dots + 2 πn

tan (x) = \frac{1}{10}

cos^{2} (2 x) + 1 + sin (2 x) = 2

8 sin^{2} (x) 2 cos (x) = 7, 0 \leq x \leq 2 π

2 sin^{2} (x) - sin (x) + 3 = 4

9 cos (2 x) = 9 cos^{2} (x) - 4

What is the general solution for sin(θ)=0.82 ?
The general solution for sin(θ)=0.82 is θ=0.96141…+2pin,θ=pi-0.96141…+2pin