What is the general solution for sin(θ)=0.7 ?

The general solution for sin(θ)=0.7 is θ=0.77539…+2pin,θ=pi-0.77539…+2pin

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sin(θ)=0.7

sin (θ) = 0.7

θ = 0.77539 \dots + 2 πn, θ = π - 0.77539 \dots + 2 πn

Degrees

θ = 44.42700 \dots^{\circ} + 36 0^{\circ} n, θ = 135.57299 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.7

Apply trig inverse properties

sin (θ) = 0.7

General solutions for

sin (θ) = 0.7

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

θ = arcsin (0.7) + 2 πn, θ = π - arcsin (0.7) + 2 πn

θ = arcsin (0.7) + 2 πn, θ = π - arcsin (0.7) + 2 πn

Show solutions in decimal form

θ = 0.77539 \dots + 2 πn, θ = π - 0.77539 \dots + 2 πn

sin (θ) = 0.2

sin^{2} (x) - 2 sin (x) + 1 = 0

2 sin (x) = - 1

2 sin (4 x) = 3

2 cos (3 x) + 3 = 0

What is the general solution for sin(θ)=0.7 ?
The general solution for sin(θ)=0.7 is θ=0.77539…+2pin,θ=pi-0.77539…+2pin