What is the general solution for 3tan(x)-3cot(x)-1=0 ?

The general solution for 3tan(x)-3cot(x)-1=0 is x=2.43876…+pin,x=0.86797…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3tan(x)-3cot(x)-1=0

3 tan (x) - 3 cot (x) - 1 = 0

x = 2.43876 \dots + πn, x = 0.86797 \dots + πn

Solution steps

3 tan (x) - 3 cot (x) - 1 = 0

Rewrite using trig identities

- 1 + \frac{3}{cot ( x )} - 3 cot (x) = 0

Solve by substitution

cot (x) = - \frac{1 + 37}{6}, cot (x) = \frac{37 - 1}{6}

cot (x) = - \frac{1 + 37}{6} : x = arccot (- \frac{1 + 37}{6}) + πn

cot (x) = \frac{37 - 1}{6} : x = arccot (\frac{37 - 1}{6}) + πn

Combine all the solutions

x = arccot (- \frac{1 + 37}{6}) + πn, x = arccot (\frac{37 - 1}{6}) + πn

Show solutions in decimal form

x = 2.43876 \dots + πn, x = 0.86797 \dots + πn

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

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

5 cos^{2} (x) + 3 sin (x) - 3 = 0

\frac{cos ^{2} ( x ) + 1}{1 + cot ^{2} ( x )} = 1

3 sin^{2} (c) - 7 sin (x) + 2 = 0

What is the general solution for 3tan(x)-3cot(x)-1=0 ?
The general solution for 3tan(x)-3cot(x)-1=0 is x=2.43876…+pin,x=0.86797…+pin