What is the general solution for sin(θ)=0.242 ?

The general solution for sin(θ)=0.242 is θ=0.24442…+2pin,θ=pi-0.24442…+2pin

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sin(θ)=0.242

sin (θ) = 0.242

θ = 0.24442 \dots + 2 πn, θ = π - 0.24442 \dots + 2 πn

Degrees

θ = 14.00461 \dots^{\circ} + 36 0^{\circ} n, θ = 165.99538 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.242

Apply trig inverse properties

sin (θ) = 0.242

General solutions for

sin (θ) = 0.242

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

θ = arcsin (0.242) + 2 πn, θ = π - arcsin (0.242) + 2 πn

θ = arcsin (0.242) + 2 πn, θ = π - arcsin (0.242) + 2 πn

Show solutions in decimal form

θ = 0.24442 \dots + 2 πn, θ = π - 0.24442 \dots + 2 πn

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

2 cos (x) = - 1, 0 \leq x < 2 π

cos (θ) = \frac{3}{11}

\frac{30}{sin ( 9 0 ^{\circ} )} = \frac{30}{sin ( x )}, x

\frac{sec ( x )}{cos ( x )} - 1 = 0

What is the general solution for sin(θ)=0.242 ?
The general solution for sin(θ)=0.242 is θ=0.24442…+2pin,θ=pi-0.24442…+2pin