What is the general solution for sin(x)=-0.3 ?

The general solution for sin(x)=-0.3 is x=-0.30469…+2pin,x=pi+0.30469…+2pin

sin(x)=-0.3

sin (x) = - 0.3

x = - 0.30469 \dots + 2 πn, x = π + 0.30469 \dots + 2 πn

Degrees

x = - 17.45760 \dots^{\circ} + 36 0^{\circ} n, x = 197.45760 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.3

Apply trig inverse properties

sin (x) = - 0.3

General solutions for

sin (x) = - 0.3

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

x = arcsin (- 0.3) + 2 πn, x = π + arcsin (0.3) + 2 πn

x = arcsin (- 0.3) + 2 πn, x = π + arcsin (0.3) + 2 πn

Show solutions in decimal form

x = - 0.30469 \dots + 2 πn, x = π + 0.30469 \dots + 2 πn

- sin (x) + cos (x) = 0, - π \leq x \leq π

sin^{2} (x) = 2 - 2 cos (x), 0 \leq x \leq 2 π

tan (θ) = \frac{7}{21}

\frac{sin ^{2} ( x ) - 2 sin ( x ) + 1}{sin ( x ) - 1} = sin (- 1)

sin (θ - 4 0^{\circ}) = 1

What is the general solution for sin(x)=-0.3 ?
The general solution for sin(x)=-0.3 is x=-0.30469…+2pin,x=pi+0.30469…+2pin