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Popular >

Solve for x k=(1+sin(x))/n

Solution

solve for

x, k = \frac{( 1 + sin ( x ) )}{n}

Solution

x = arcsin (kn - 1) + 2 πm, x = π + arcsin (- kn + 1) + 2 πm

Solution steps

k = \frac{( 1 + sin ( x ) )}{n}

Switch sides

\frac{1 + sin ( x )}{n} = k

Multiply both sides by

n

1 + sin (x) = kn; n \neq = 0

Move

1

to the right side

sin (x) = kn - 1; n \neq = 0

Apply trig inverse properties

x = arcsin (kn - 1) + 2 πm, x = π + arcsin (- kn + 1) + 2 πm

Popular Examples

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a, tan (a) = \frac{1}{3}

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cos (\frac{( 4 π )}{3})

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cos (\frac{( 3 π )}{4})

Find the Exact Value sec((5pi)/6)

sec (\frac{( 5 π )}{6})

Find the Degree tan(theta)=-4/5

tan (θ) = \frac{- 4}{5}

Frequently Asked Questions (FAQ)

What is the general solution for solvefor x,k=((1+sin(x)))/n ?
The general solution for solvefor x,k=((1+sin(x)))/n is x=arcsin(kn-1)+2pim,x=pi+arcsin(-kn+1)+2pim