What is the general solution for sin(x)= 10/50 ?

The general solution for sin(x)= 10/50 is x=0.20135…+2pin,x=pi-0.20135…+2pin

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sin(x)= 10/50

sin (x) = \frac{10}{50}

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

Degrees

x = 11.53695 \dots^{\circ} + 36 0^{\circ} n, x = 168.46304 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{10}{50}

Cancel the common factor:

10

sin (x) = \frac{1}{5}

Apply trig inverse properties

sin (x) = \frac{1}{5}

General solutions for

sin (x) = \frac{1}{5}

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

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

Show solutions in decimal form

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

6 sin (4 x) + 4 = 5, 0 \leq x \leq 2 π

3 tan (x) = 3

t, y = sin (t)

sec^{2} (q) = sec (q) + 2

sin (θ) + 4 = 3

What is the general solution for sin(x)= 10/50 ?
The general solution for sin(x)= 10/50 is x=0.20135…+2pin,x=pi-0.20135…+2pin