What is the general solution for sin(x)= 33/105 ?

The general solution for sin(x)= 33/105 is x=0.31970…+2pin,x=pi-0.31970…+2pin

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sin(x)= 33/105

sin (x) = \frac{33}{105}

x = 0.31970 \dots + 2 πn, x = π - 0.31970 \dots + 2 πn

Degrees

x = 18.31769 \dots^{\circ} + 36 0^{\circ} n, x = 161.68230 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{33}{105}

Cancel the common factor:

3

sin (x) = \frac{11}{35}

Apply trig inverse properties

sin (x) = \frac{11}{35}

General solutions for

sin (x) = \frac{11}{35}

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

x = arcsin (\frac{11}{35}) + 2 πn, x = π - arcsin (\frac{11}{35}) + 2 πn

x = arcsin (\frac{11}{35}) + 2 πn, x = π - arcsin (\frac{11}{35}) + 2 πn

Show solutions in decimal form

x = 0.31970 \dots + 2 πn, x = π - 0.31970 \dots + 2 πn

csc (x) = 10

cos (x) = 0.308

31.21 = 40 sin (25 g)

tan (t) = \frac{7}{24}, 0 < t < \frac{π}{2}

What is the general solution for sin(x)= 33/105 ?
The general solution for sin(x)= 33/105 is x=0.31970…+2pin,x=pi-0.31970…+2pin