What is the general solution for sin(2x)=-0.6 ?

The general solution for sin(2x)=-0.6 is x=-(0.64350…)/2+pin,x= pi/2+(0.64350…)/2+pin

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sin(2x)=-0.6

sin (2 x) = - 0.6

x = - \frac{0.64350 \dots}{2} + πn, x = \frac{π}{2} + \frac{0.64350 \dots}{2} + πn

Solution steps

sin (2 x) = - 0.6

Apply trig inverse properties

2 x = arcsin (- 0.6) + 2 πn, 2 x = π + arcsin (0.6) + 2 πn

Solve

2 x = arcsin (- 0.6) + 2 πn : x = - \frac{arcsin ( \frac{3}{5} )}{2} + πn

Solve

2 x = π + arcsin (0.6) + 2 πn : x = \frac{π}{2} + \frac{arcsin ( 0.6 )}{2} + πn

x = - \frac{arcsin ( \frac{3}{5} )}{2} + πn, x = \frac{π}{2} + \frac{arcsin ( 0.6 )}{2} + πn

Show solutions in decimal form

x = - \frac{0.64350 \dots}{2} + πn, x = \frac{π}{2} + \frac{0.64350 \dots}{2} + πn

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What is the general solution for sin(2x)=-0.6 ?
The general solution for sin(2x)=-0.6 is x=-(0.64350…)/2+pin,x= pi/2+(0.64350…)/2+pin