What is the general solution for sin(x)=-7/8 ?

The general solution for sin(x)=-7/8 is x=-1.06543…+2pin,x=pi+1.06543…+2pin

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sin(x)=-7/8

sin (x) = - \frac{7}{8}

x = - 1.06543 \dots + 2 πn, x = π + 1.06543 \dots + 2 πn

Degrees

x = - 61.04497 \dots^{\circ} + 36 0^{\circ} n, x = 241.04497 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - \frac{7}{8}

Apply trig inverse properties

sin (x) = - \frac{7}{8}

General solutions for

sin (x) = - \frac{7}{8}

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

x = arcsin (- \frac{7}{8}) + 2 πn, x = π + arcsin (\frac{7}{8}) + 2 πn

x = arcsin (- \frac{7}{8}) + 2 πn, x = π + arcsin (\frac{7}{8}) + 2 πn

Show solutions in decimal form

x = - 1.06543 \dots + 2 πn, x = π + 1.06543 \dots + 2 πn

sin (x) = 0.942

4 cos^{2} (x) = 5 + 4 sin (x), (0, 2 π)

\frac{sin ( S )}{53} = \frac{sin ( 11 5 ^{\circ} )}{83}

25 sin^{2} (x) - 10 sin (x) + 1 = 0

4 - 4 sin (θ) = 2

What is the general solution for sin(x)=-7/8 ?
The general solution for sin(x)=-7/8 is x=-1.06543…+2pin,x=pi+1.06543…+2pin