What is the general solution for sin(x)=-0.85 ?

The general solution for sin(x)=-0.85 is x=-1.01598…+2pin,x=pi+1.01598…+2pin

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sin(x)=-0.85

sin (x) = - 0.85

x = - 1.01598 \dots + 2 πn, x = π + 1.01598 \dots + 2 πn

Solution steps

sin (x) = - 0.85

Apply trig inverse properties

x = arcsin (- 0.85) + 2 πn, x = π + arcsin (0.85) + 2 πn

Show solutions in decimal form

x = - 1.01598 \dots + 2 πn, x = π + 1.01598 \dots + 2 πn

4 tan^{2} (θ) + 5 tan (θ) = 6

sin (t) = cos (t)

- 2 sin^{2} (3 x) = 3 cos (3 x)

2 cot (x) + csc (x) = 0

sin (x) = - 0.15

What is the general solution for sin(x)=-0.85 ?
The general solution for sin(x)=-0.85 is x=-1.01598…+2pin,x=pi+1.01598…+2pin