What is the general solution for sin(a)=-5/13 ?

The general solution for sin(a)=-5/13 is a=-0.39479…+2pin,a=pi+0.39479…+2pin

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sin(a)=-5/13

sin (a) = - \frac{5}{13}

a = - 0.39479 \dots + 2 πn, a = π + 0.39479 \dots + 2 πn

Degrees

a = - 22.61986 \dots^{\circ} + 36 0^{\circ} n, a = 202.61986 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = - \frac{5}{13}

Apply trig inverse properties

sin (a) = - \frac{5}{13}

General solutions for

sin (a) = - \frac{5}{13}

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

a = arcsin (- \frac{5}{13}) + 2 πn, a = π + arcsin (\frac{5}{13}) + 2 πn

a = arcsin (- \frac{5}{13}) + 2 πn, a = π + arcsin (\frac{5}{13}) + 2 πn

Show solutions in decimal form

a = - 0.39479 \dots + 2 πn, a = π + 0.39479 \dots + 2 πn

sin^{2} (x) = \frac{( 8 m - 2 )}{9}

0.06 = 0.1 (cos (4 (t) - 1.57))

sin (x) = \frac{13}{14}

sin (x - \frac{π}{2}) + sin (\frac{π}{2}) = sin (x + \frac{π}{2})

sec^{2} (x) = 2 + sec (x)

What is the general solution for sin(a)=-5/13 ?
The general solution for sin(a)=-5/13 is a=-0.39479…+2pin,a=pi+0.39479…+2pin