What is the general solution for sin(x)=(\sqrt[5]{8})/2 ?

The general solution for sin(x)=(\sqrt[5]{8})/2 is x=0.86002…+2pin,x=pi-0.86002…+2pin

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sin(x)=(\sqrt[5]{8})/2

x = 0.86002 \dots + 2 πn, x = π - 0.86002 \dots + 2 πn

Degrees

x = 49.27575 \dots^{\circ} + 36 0^{\circ} n, x = 130.72424 \dots^{\circ} + 36 0^{\circ} n

Solution steps

Apply trig inverse properties

General solutions for

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

Show solutions in decimal form

x = 0.86002 \dots + 2 πn, x = π - 0.86002 \dots + 2 πn

cos (x) = 0.308

31.21 = 40 sin (25 g)

tan (t) = \frac{7}{24}, 0 < t < \frac{π}{2}

cos^{2} (x) = 0.6

cos^{2} (x) = 0.3

What is the general solution for sin(x)=(\sqrt[5]{8})/2 ?
The general solution for sin(x)=(\sqrt[5]{8})/2 is x=0.86002…+2pin,x=pi-0.86002…+2pin