What is the general solution for sin(x)=0.2419 ?

The general solution for sin(x)=0.2419 is x=0.24432…+2pin,x=pi-0.24432…+2pin

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sin(x)=0.2419

sin (x) = 0.2419

x = 0.24432 \dots + 2 πn, x = π - 0.24432 \dots + 2 πn

Degrees

x = 13.99870 \dots^{\circ} + 36 0^{\circ} n, x = 166.00129 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.2419

Apply trig inverse properties

sin (x) = 0.2419

General solutions for

sin (x) = 0.2419

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

x = arcsin (0.2419) + 2 πn, x = π - arcsin (0.2419) + 2 πn

x = arcsin (0.2419) + 2 πn, x = π - arcsin (0.2419) + 2 πn

Show solutions in decimal form

x = 0.24432 \dots + 2 πn, x = π - 0.24432 \dots + 2 πn

(- 1 - 3 cos (x))^{2} + cos^{2} (x) = 1

tan (θ) = - \frac{19}{17}

2 sin (θ) tan (θ) - 2 sin (θ) + tan (θ) - 1 = 0

cos (x) = 0.3, cos (π - x)

3 cos^{2} (θ) + sin^{2} (θ) = 2

What is the general solution for sin(x)=0.2419 ?
The general solution for sin(x)=0.2419 is x=0.24432…+2pin,x=pi-0.24432…+2pin