What is the general solution for sin(x)= 9/41 ?

The general solution for sin(x)= 9/41 is x=0.22131…+2pin,x=pi-0.22131…+2pin

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sin(x)= 9/41

sin (x) = \frac{9}{41}

x = 0.22131 \dots + 2 πn, x = π - 0.22131 \dots + 2 πn

Degrees

x = 12.68038 \dots^{\circ} + 36 0^{\circ} n, x = 167.31961 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{9}{41}

Apply trig inverse properties

sin (x) = \frac{9}{41}

General solutions for

sin (x) = \frac{9}{41}

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

x = arcsin (\frac{9}{41}) + 2 πn, x = π - arcsin (\frac{9}{41}) + 2 πn

x = arcsin (\frac{9}{41}) + 2 πn, x = π - arcsin (\frac{9}{41}) + 2 πn

Show solutions in decimal form

x = 0.22131 \dots + 2 πn, x = π - 0.22131 \dots + 2 πn

cos (2 x) cos (x) - sin (2 x) sin (x) = 0

sin (a) = 0.6

sin (2 t) = - 1

tan (θ) = 8

5 cos (x) + 3 = 0

What is the general solution for sin(x)= 9/41 ?
The general solution for sin(x)= 9/41 is x=0.22131…+2pin,x=pi-0.22131…+2pin