What is the general solution for sin(x)=-5/8 ?

The general solution for sin(x)=-5/8 is x=-0.67513…+2pin,x=pi+0.67513…+2pin

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sin(x)=-5/8

sin (x) = - \frac{5}{8}

x = - 0.67513 \dots + 2 πn, x = π + 0.67513 \dots + 2 πn

Degrees

x = - 38.68218 \dots^{\circ} + 36 0^{\circ} n, x = 218.68218 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - \frac{5}{8}

Apply trig inverse properties

sin (x) = - \frac{5}{8}

General solutions for

sin (x) = - \frac{5}{8}

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

x = arcsin (- \frac{5}{8}) + 2 πn, x = π + arcsin (\frac{5}{8}) + 2 πn

x = arcsin (- \frac{5}{8}) + 2 πn, x = π + arcsin (\frac{5}{8}) + 2 πn

Show solutions in decimal form

x = - 0.67513 \dots + 2 πn, x = π + 0.67513 \dots + 2 πn

2 sin (x) = 1, 0 \leq x \leq 2 π

5 cot (x) + 4 = 9

sin^{5} (x) = 0

3 sin (4 x) + 5 = 6, 0 \leq x \leq \frac{π}{2}

cos (z + 1) = 0

What is the general solution for sin(x)=-5/8 ?
The general solution for sin(x)=-5/8 is x=-0.67513…+2pin,x=pi+0.67513…+2pin