What is the general solution for sin(θ)=0.18421 ?

The general solution for sin(θ)=0.18421 is θ=0.18526…+2pin,θ=pi-0.18526…+2pin

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sin(θ)=0.18421

sin (θ) = 0.18421

θ = 0.18526 \dots + 2 πn, θ = π - 0.18526 \dots + 2 πn

Degrees

θ = 10.61507 \dots^{\circ} + 36 0^{\circ} n, θ = 169.38492 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.18421

Apply trig inverse properties

sin (θ) = 0.18421

General solutions for

sin (θ) = 0.18421

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

θ = arcsin (0.18421) + 2 πn, θ = π - arcsin (0.18421) + 2 πn

θ = arcsin (0.18421) + 2 πn, θ = π - arcsin (0.18421) + 2 πn

Show solutions in decimal form

θ = 0.18526 \dots + 2 πn, θ = π - 0.18526 \dots + 2 πn

\frac{6}{3 tan ( θ ) + 1} = 5

cos (x) = 2 - 3 sin (x)

tan (\frac{x}{2}) = 1, 5

2 cos^{2} (x) - 1 - cos (x) = 0, 0 \leq x \leq 2 π

cos (θ) = \frac{- 3}{5}

What is the general solution for sin(θ)=0.18421 ?
The general solution for sin(θ)=0.18421 is θ=0.18526…+2pin,θ=pi-0.18526…+2pin