What is the general solution for sin(x)= 12/60 ?

The general solution for sin(x)= 12/60 is x=0.20135…+2pin,x=pi-0.20135…+2pin

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sin(x)= 12/60

sin (x) = \frac{12}{60}

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{12}{60}

Cancel the common factor:

12

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

sin (8 x) = \frac{1}{2}

1 + sin^{2} (x) + cos^{4} (x) = 0

7 \cdot sin^{2} (x) + cos^{2} (x) - 1 = 6 sin (x)

4 sec^{2} (x) - 3 tan^{2} (x) = 5 tan^{2} (x)

cos^{3} (x) = 66

What is the general solution for sin(x)= 12/60 ?
The general solution for sin(x)= 12/60 is x=0.20135…+2pin,x=pi-0.20135…+2pin