What is the general solution for 5sin(x)=3 ?

The general solution for 5sin(x)=3 is x=0.64350…+2pin,x=pi-0.64350…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5sin(x)=3

5 sin (x) = 3

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

5 sin (x) = 3

Divide both sides by

5

5 sin (x) = 3

Divide both sides by

5

\frac{5 sin ( x )}{5} = \frac{3}{5}

Simplify

sin (x) = \frac{3}{5}

sin (x) = \frac{3}{5}

Apply trig inverse properties

sin (x) = \frac{3}{5}

General solutions for

sin (x) = \frac{3}{5}

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

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

sin (x) (2 cos (x) - 3) = 0

cos^{2} (x) + 5 cos (x) = cos (x) - 3

- 9 sin (x) - 9 cos (x) = 0

cot (x) = \frac{1}{3}

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

What is the general solution for 5sin(x)=3 ?
The general solution for 5sin(x)=3 is x=0.64350…+2pin,x=pi-0.64350…+2pin