What is the general solution for sin(x)=-0.71 ?

The general solution for sin(x)=-0.71 is x=-0.78949…+2pin,x=pi+0.78949…+2pin

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sin(x)=-0.71

sin (x) = - 0.71

x = - 0.78949 \dots + 2 πn, x = π + 0.78949 \dots + 2 πn

Degrees

x = - 45.23491 \dots^{\circ} + 36 0^{\circ} n, x = 225.23491 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.71

Apply trig inverse properties

sin (x) = - 0.71

General solutions for

sin (x) = - 0.71

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

x = arcsin (- 0.71) + 2 πn, x = π + arcsin (0.71) + 2 πn

x = arcsin (- 0.71) + 2 πn, x = π + arcsin (0.71) + 2 πn

Show solutions in decimal form

x = - 0.78949 \dots + 2 πn, x = π + 0.78949 \dots + 2 πn

What is the general solution for sin(x)=-0.71 ?
The general solution for sin(x)=-0.71 is x=-0.78949…+2pin,x=pi+0.78949…+2pin