What is the general solution for sin(x)=-0.8176 ?

The general solution for sin(x)=-0.8176 is x=-0.95723…+2pin,x=pi+0.95723…+2pin

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sin(x)=-0.8176

sin (x) = - 0.8176

x = - 0.95723 \dots + 2 πn, x = π + 0.95723 \dots + 2 πn

Degrees

x = - 54.84526 \dots^{\circ} + 36 0^{\circ} n, x = 234.84526 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.8176

Apply trig inverse properties

sin (x) = - 0.8176

General solutions for

sin (x) = - 0.8176

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

x = arcsin (- 0.8176) + 2 πn, x = π + arcsin (0.8176) + 2 πn

x = arcsin (- 0.8176) + 2 πn, x = π + arcsin (0.8176) + 2 πn

Show solutions in decimal form

x = - 0.95723 \dots + 2 πn, x = π + 0.95723 \dots + 2 πn

sin (x) = - 0.342

(cos (x) - 4) (cos (x) + 1) = 0

- 15 + 4 cos (x) = - 15 - 22

tan^{2} (x) sin (x) = tan^{2} (x)

2 sin (θ) = 2, 0 \leq θ < 2 π

What is the general solution for sin(x)=-0.8176 ?
The general solution for sin(x)=-0.8176 is x=-0.95723…+2pin,x=pi+0.95723…+2pin