What is the general solution for sin(x)=(1.2)/(1.6) ?

The general solution for sin(x)=(1.2)/(1.6) is x=0.84806…+2pin,x=pi-0.84806…+2pin

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sin(x)=(1.2)/(1.6)

sin (x) = \frac{1.2}{1.6}

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

Degrees

x = 48.59037 \dots^{\circ} + 36 0^{\circ} n, x = 131.40962 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{1.2}{1.6}

Apply trig inverse properties

sin (x) = \frac{1.2}{1.6}

General solutions for

sin (x) = \frac{1.2}{1.6}

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

x = arcsin (\frac{1.2}{1.6}) + 2 πn, x = π - arcsin (\frac{1.2}{1.6}) + 2 πn

x = arcsin (\frac{1.2}{1.6}) + 2 πn, x = π - arcsin (\frac{1.2}{1.6}) + 2 πn

Show solutions in decimal form

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

2 cos^{2} (θ) + 3 cos (θ) = - 1

sin (x) = \frac{14.9}{19.9725}

sin (θ) = \frac{1}{2}, 0 \leq θ \leq 4 π

2 sin (x) (cos (x) - sin (x)) + cos (x) - sin (x) = 0

3 - cosh (x) = 0

What is the general solution for sin(x)=(1.2)/(1.6) ?
The general solution for sin(x)=(1.2)/(1.6) is x=0.84806…+2pin,x=pi-0.84806…+2pin