What is the general solution for solvefor x,y=3sin(x) ?

The general solution for solvefor x,y=3sin(x) is x=arcsin(y/3)+2pin,x=pi+arcsin(-y/3)+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,y=3sin(x)

solve for

x, y = 3 sin (x)

x = arcsin (\frac{y}{3}) + 2 πn, x = π + arcsin (- \frac{y}{3}) + 2 πn

Solution steps

y = 3 sin (x)

Switch sides

3 sin (x) = y

Divide both sides by

3

3 sin (x) = y

Divide both sides by

3

\frac{3 sin ( x )}{3} = \frac{y}{3}

Simplify

sin (x) = \frac{y}{3}

sin (x) = \frac{y}{3}

Apply trig inverse properties

sin (x) = \frac{y}{3}

General solutions for

sin (x) = \frac{y}{3}

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

x = arcsin (\frac{y}{3}) + 2 πn, x = π + arcsin (- \frac{y}{3}) + 2 πn

x = arcsin (\frac{y}{3}) + 2 πn, x = π + arcsin (- \frac{y}{3}) + 2 πn

6 - 4 cos^{2} (x) - 5 cos (x) = 0

cos (x) = \frac{32}{34.54}

tan (a) = \frac{51}{140}

cos^{2} (x) + cos (x) + 1 = sin^{2} (x)

sin (x) cot (x) csc (x) = 2

What is the general solution for solvefor x,y=3sin(x) ?
The general solution for solvefor x,y=3sin(x) is x=arcsin(y/3)+2pin,x=pi+arcsin(-y/3)+2pin