What is the general solution for sin(x)= 15/23 ?

The general solution for sin(x)= 15/23 is x=0.71044…+2pin,x=pi-0.71044…+2pin

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sin(x)= 15/23

sin (x) = \frac{15}{23}

x = 0.71044 \dots + 2 πn, x = π - 0.71044 \dots + 2 πn

Solution steps

sin (x) = \frac{15}{23}

Apply trig inverse properties

x = arcsin (\frac{15}{23}) + 2 πn, x = π - arcsin (\frac{15}{23}) + 2 πn

Show solutions in decimal form

x = 0.71044 \dots + 2 πn, x = π - 0.71044 \dots + 2 πn

4 sin^{2} (x) = 3, + [0, + 2 π]

6 sin (θ) - 1 = 4 sin (θ)

cot^{3} (x) = cot^{3} (x) sin (x)

3 (1 - cos (x)) = sin^{2} (x)

2 cos^{2} (θ) + 5 cos (θ) - 2 = - 4

What is the general solution for sin(x)= 15/23 ?
The general solution for sin(x)= 15/23 is x=0.71044…+2pin,x=pi-0.71044…+2pin