What is the general solution for sin(x)= 10/25 ?

The general solution for sin(x)= 10/25 is x=0.41151…+2pin,x=pi-0.41151…+2pin

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sin(x)= 10/25

sin (x) = \frac{10}{25}

x = 0.41151 \dots + 2 πn, x = π - 0.41151 \dots + 2 πn

Degrees

x = 23.57817 \dots^{\circ} + 36 0^{\circ} n, x = 156.42182 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{10}{25}

Cancel the common factor:

5

sin (x) = \frac{2}{5}

Apply trig inverse properties

sin (x) = \frac{2}{5}

General solutions for

sin (x) = \frac{2}{5}

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

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

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

Show solutions in decimal form

x = 0.41151 \dots + 2 πn, x = π - 0.41151 \dots + 2 πn

\frac{tan ( x )}{sin ( x )} = cos (x)

4 tan^{2} (x) + 7 tan (x) - 4 = 0

tan (θ) = - 1 - 3

y, v = (1 - 4 cos (5 y))^{- \frac{1}{2}}

x, cos (x) = cos (p)

What is the general solution for sin(x)= 10/25 ?
The general solution for sin(x)= 10/25 is x=0.41151…+2pin,x=pi-0.41151…+2pin