What is the general solution for sin(θ)= 1/4 ,0<θ<90 ?

The general solution for sin(θ)= 1/4 ,0<θ<90 is θ=0.25268…

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sin(θ)= 1/4 ,0<θ<90

sin (θ) = \frac{1}{4}, 0^{\circ} < θ < 9 0^{\circ}

θ = 0.25268 \dots

Solution steps

sin (θ) = \frac{1}{4}, 0^{\circ} < θ < 9 0^{\circ}

Apply trig inverse properties

θ = arcsin (\frac{1}{4}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{1}{4}) + 36 0^{\circ} n

Solutions for the range

0 < θ < 9 0^{\circ}

θ = arcsin (\frac{1}{4})

Show solutions in decimal form

θ = 0.25268 \dots

sin (90 - 2 x) = cos (9 0^{\circ} - x)

tan (\frac{x}{2}) = - 0.39

4 sin (3 x) - 1 = 0

\frac{7}{4} cos (3 θ) - 1 = 0

cos (x) = sin (\frac{7 π}{6}), 0 \leq x \leq 2 π

What is the general solution for sin(θ)= 1/4 ,0<θ<90 ?
The general solution for sin(θ)= 1/4 ,0<θ<90 is θ=0.25268…