What is the general solution for sin(x)=(17.75)/(42) ?

The general solution for sin(x)=(17.75)/(42) is x=0.43633…+2pin,x=pi-0.43633…+2pin

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sin(x)=(17.75)/(42)

sin (x) = \frac{17.75}{42}

x = 0.43633 \dots + 2 πn, x = π - 0.43633 \dots + 2 πn

Degrees

x = 25.00004 \dots^{\circ} + 36 0^{\circ} n, x = 154.99995 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{17.75}{42}

Apply trig inverse properties

sin (x) = \frac{17.75}{42}

General solutions for

sin (x) = \frac{17.75}{42}

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

x = arcsin (\frac{17.75}{42}) + 2 πn, x = π - arcsin (\frac{17.75}{42}) + 2 πn

x = arcsin (\frac{17.75}{42}) + 2 πn, x = π - arcsin (\frac{17.75}{42}) + 2 πn

Show solutions in decimal form

x = 0.43633 \dots + 2 πn, x = π - 0.43633 \dots + 2 πn

tan (θ) - sec (θ) = 3, 0 \leq θ < 2 π

tan (θ) = \frac{5}{2}, 0 < θ < \frac{π}{2}, sin (\frac{θ}{2})

3 = 20.39 sin (θ) cos (θ)

sin^{4} (x) = \frac{1}{16}

sec (y) = \frac{4}{5}

What is the general solution for sin(x)=(17.75)/(42) ?
The general solution for sin(x)=(17.75)/(42) is x=0.43633…+2pin,x=pi-0.43633…+2pin