What is the general solution for sin(x)=-0.3926 ?

The general solution for sin(x)=-0.3926 is x=-0.40345…+2pin,x=pi+0.40345…+2pin

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sin(x)=-0.3926

sin (x) = - 0.3926

x = - 0.40345 \dots + 2 πn, x = π + 0.40345 \dots + 2 πn

Degrees

x = - 23.11637 \dots^{\circ} + 36 0^{\circ} n, x = 203.11637 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.3926

Apply trig inverse properties

sin (x) = - 0.3926

General solutions for

sin (x) = - 0.3926

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

x = arcsin (- 0.3926) + 2 πn, x = π + arcsin (0.3926) + 2 πn

x = arcsin (- 0.3926) + 2 πn, x = π + arcsin (0.3926) + 2 πn

Show solutions in decimal form

x = - 0.40345 \dots + 2 πn, x = π + 0.40345 \dots + 2 πn

(sin (2 x) + 1) = 0, 0^{\circ} \leq x < 36 0^{\circ}

4 sin (x) + 2 = 2 sin (x)

y, - \frac{1}{2} cot (y) = \frac{t ^{2}}{2} + C

4 cos (2 t) + 1 = 3, 0, \frac{π}{2}

A, cos (\frac{π}{3} - A) = 2 sin (A)

What is the general solution for sin(x)=-0.3926 ?
The general solution for sin(x)=-0.3926 is x=-0.40345…+2pin,x=pi+0.40345…+2pin