What is the general solution for sin(x)=(18.5)/(20) ?

The general solution for sin(x)=(18.5)/(20) is x=1.18103…+2pin,x=pi-1.18103…+2pin

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Find Where Undefined/Discontinuous sin(x)=18.5/20

sin (x) = \frac{18.5}{20}

x = 1.18103 \dots + 2 πn, x = π - 1.18103 \dots + 2 πn

Degrees

x = 67.66835 \dots^{\circ} + 36 0^{\circ} n, x = 112.33164 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{18.5}{20}

Apply trig inverse properties

sin (x) = \frac{18.5}{20}

General solutions for

sin (x) = \frac{18.5}{20}

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

x = arcsin (\frac{18.5}{20}) + 2 πn, x = π - arcsin (\frac{18.5}{20}) + 2 πn

x = arcsin (\frac{18.5}{20}) + 2 πn, x = π - arcsin (\frac{18.5}{20}) + 2 πn

Show solutions in decimal form

x = 1.18103 \dots + 2 πn, x = π - 1.18103 \dots + 2 πn

sec (\frac{( 2 π )}{3})

sin (\frac{135}{2})

cos (\frac{( 5 π )}{6})

cos (θ) = \frac{4}{5}, 27 0^{\circ} < θ < 36 0^{\circ}

tan (\frac{( 5 π )}{6})

What is the general solution for sin(x)=(18.5)/(20) ?
The general solution for sin(x)=(18.5)/(20) is x=1.18103…+2pin,x=pi-1.18103…+2pin