What is the general solution for sin(x)= 18/25 ?

The general solution for sin(x)= 18/25 is x=0.80380…+2pin,x=pi-0.80380…+2pin

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sin(x)= 18/25

sin (x) = \frac{18}{25}

x = 0.80380 \dots + 2 πn, x = π - 0.80380 \dots + 2 πn

Degrees

x = 46.05448 \dots^{\circ} + 36 0^{\circ} n, x = 133.94551 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{18}{25}

Apply trig inverse properties

sin (x) = \frac{18}{25}

General solutions for

sin (x) = \frac{18}{25}

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

x = arcsin (\frac{18}{25}) + 2 πn, x = π - arcsin (\frac{18}{25}) + 2 πn

x = arcsin (\frac{18}{25}) + 2 πn, x = π - arcsin (\frac{18}{25}) + 2 πn

Show solutions in decimal form

x = 0.80380 \dots + 2 πn, x = π - 0.80380 \dots + 2 πn

3 cos (x) - sin^{2} (x) + 3 = 0

x, cos (x) = \frac{1}{4}

cos^{2} (t) = 0

sin (x) = \frac{18}{12}

csc (θ) = 5

What is the general solution for sin(x)= 18/25 ?
The general solution for sin(x)= 18/25 is x=0.80380…+2pin,x=pi-0.80380…+2pin