What is the general solution for 3cos(x)=2sin(x) ?

The general solution for 3cos(x)=2sin(x) is x=0.98279…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3cos(x)=2sin(x)

3 cos (x) = 2 sin (x)

x = 0.98279 \dots + πn

Solution steps

3 cos (x) = 2 sin (x)

Rewrite using trig identities

2 tan (x) = 3

Divide both sides by

2

tan (x) = \frac{3}{2}

Apply trig inverse properties

x = arctan (\frac{3}{2}) + πn

Show solutions in decimal form

x = 0.98279 \dots + πn

2 cos^{2} (θ) - cos (θ) = 1, 0 \leq θ \leq 2 π

tan (x) - 3 = 0, 0 \leq x \leq 2 π

1 = tan (0 + c)

4 sin^{2} (x) = 3 - 4 sin (x)

tan (θ) = - \frac{2}{2}

What is the general solution for 3cos(x)=2sin(x) ?
The general solution for 3cos(x)=2sin(x) is x=0.98279…+pin