What is the general solution for 1=4sin(x) ?

The general solution for 1=4sin(x) is x=0.25268…+2pin,x=pi-0.25268…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1=4sin(x)

1 = 4 sin (x)

x = 0.25268 \dots + 2 πn, x = π - 0.25268 \dots + 2 πn

Solution steps

1 = 4 sin (x)

Switch sides

4 sin (x) = 1

Divide both sides by

4

sin (x) = \frac{1}{4}

Apply trig inverse properties

x = arcsin (\frac{1}{4}) + 2 πn, x = π - arcsin (\frac{1}{4}) + 2 πn

Show solutions in decimal form

x = 0.25268 \dots + 2 πn, x = π - 0.25268 \dots + 2 πn

tan (x) = \frac{45}{67}

k, 1.5 = 6 (- cos (\frac{k}{2}) + 1)

cos (t) = sin (2 t)

2 cos^{2} (x) = 1 - cos^{2} (x)

4 + 2 cos (2 x) = 6 cos (x)

What is the general solution for 1=4sin(x) ?
The general solution for 1=4sin(x) is x=0.25268…+2pin,x=pi-0.25268…+2pin