What is the general solution for sin(x)=(6.2)/8 ?

The general solution for sin(x)=(6.2)/8 is x=0.88671…+2pin,x=pi-0.88671…+2pin

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sin(x)=(6.2)/8

sin (x) = \frac{6.2}{8}

x = 0.88671 \dots + 2 πn, x = π - 0.88671 \dots + 2 πn

Solution steps

sin (x) = \frac{6.2}{8}

Apply trig inverse properties

x = arcsin (\frac{6.2}{8}) + 2 πn, x = π - arcsin (\frac{6.2}{8}) + 2 πn

Show solutions in decimal form

x = 0.88671 \dots + 2 πn, x = π - 0.88671 \dots + 2 πn

cos (2 θ) = \frac{3}{2}, 0 \leq θ \leq 2 π

- 2 cot (x) + 1 = 23 + 1

32 cos (θ) + 1 = - 2, 0 \leq θ < 2 π

cos (u) = - \frac{15}{17}

2 cos (\frac{x}{3}) = 1

What is the general solution for sin(x)=(6.2)/8 ?
The general solution for sin(x)=(6.2)/8 is x=0.88671…+2pin,x=pi-0.88671…+2pin