What is the general solution for sin(x)=-0.465 ?

The general solution for sin(x)=-0.465 is x=-0.48363…+2pin,x=pi+0.48363…+2pin

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sin(x)=-0.465

sin (x) = - 0.465

x = - 0.48363 \dots + 2 πn, x = π + 0.48363 \dots + 2 πn

Degrees

x = - 27.71022 \dots^{\circ} + 36 0^{\circ} n, x = 207.71022 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.465

Apply trig inverse properties

sin (x) = - 0.465

General solutions for

sin (x) = - 0.465

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

x = arcsin (- 0.465) + 2 πn, x = π + arcsin (0.465) + 2 πn

x = arcsin (- 0.465) + 2 πn, x = π + arcsin (0.465) + 2 πn

Show solutions in decimal form

x = - 0.48363 \dots + 2 πn, x = π + 0.48363 \dots + 2 πn

cos (x) = \frac{10}{17}

θ, r = \frac{7}{1 + cos ( θ )}

csc (θ) = - \frac{3}{5}, tan (2 θ)

1 - sin (x) = 0

x, sin (x) = e

What is the general solution for sin(x)=-0.465 ?
The general solution for sin(x)=-0.465 is x=-0.48363…+2pin,x=pi+0.48363…+2pin