What is the general solution for sin(θ)=0.695 ?

The general solution for sin(θ)=0.695 is θ=0.76841…+2pin,θ=pi-0.76841…+2pin

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sin(θ)=0.695

sin (θ) = 0.695

θ = 0.76841 \dots + 2 πn, θ = π - 0.76841 \dots + 2 πn

Solution steps

sin (θ) = 0.695

Apply trig inverse properties

θ = arcsin (0.695) + 2 πn, θ = π - arcsin (0.695) + 2 πn

Show solutions in decimal form

θ = 0.76841 \dots + 2 πn, θ = π - 0.76841 \dots + 2 πn

4 + sin (a) = 3 sin^{2} (a)

x, cos (2 x) - cos (x) = 0

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

sin (3 x) = \frac{1}{2}, 0 \leq x \leq 2 π

x, sin (x + y) + sin (x - y) = 1

What is the general solution for sin(θ)=0.695 ?
The general solution for sin(θ)=0.695 is θ=0.76841…+2pin,θ=pi-0.76841…+2pin