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

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

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sin(x)=-5/13

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

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

Solution steps

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

Apply trig inverse properties

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

Show solutions in decimal form

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

9 tan^{2} (x) - 3 = 0

cos (x) = - \frac{2}{5}

cot^{2} (θ) - 9 = 0

sec (x) = - 1 - tan (x)

sec (θ) + 3 = 0

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