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Popular >

solvefor x,0.33=sin(209.42x)

Solution

solve for

x, 0.33 = sin (209.42 x)

Solution

x = \frac{0.33630 \dots}{209.42} + \frac{2 πn}{209.42}, x = \frac{π}{209.42} - \frac{0.33630 \dots}{209.42} + \frac{2 πn}{209.42}

+1

Degrees

x = 0.09201 \dots^{\circ} + 1.71903 \dots^{\circ} n, x = 0.76750 \dots^{\circ} + 1.71903 \dots^{\circ} n

Solution steps

0.33 = sin (209.42 x)

Switch sides

sin (209.42 x) = 0.33

Apply trig inverse properties

sin (209.42 x) = 0.33

General solutions for

sin (209.42 x) = 0.33

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

209.42 x = arcsin (0.33) + 2 πn, 209.42 x = π - arcsin (0.33) + 2 πn

209.42 x = arcsin (0.33) + 2 πn, 209.42 x = π - arcsin (0.33) + 2 πn

Solve

209.42 x = arcsin (0.33) + 2 πn : x = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

209.42 x = arcsin (0.33) + 2 πn

Divide both sides by

209.42

209.42 x = arcsin (0.33) + 2 πn

Divide both sides by

209.42

\frac{209.42 x}{209.42} = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

Simplify

x = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

x = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

Solve

209.42 x = π - arcsin (0.33) + 2 πn : x = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

209.42 x = π - arcsin (0.33) + 2 πn

Divide both sides by

209.42

209.42 x = π - arcsin (0.33) + 2 πn

Divide both sides by

209.42

\frac{209.42 x}{209.42} = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

Simplify

x = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

x = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

x = \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}, x = \frac{π}{209.42} - \frac{arcsin ( 0.33 )}{209.42} + \frac{2 πn}{209.42}

Show solutions in decimal form

x = \frac{0.33630 \dots}{209.42} + \frac{2 πn}{209.42}, x = \frac{π}{209.42} - \frac{0.33630 \dots}{209.42} + \frac{2 πn}{209.42}

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