What is the general solution for tan(2x+60)=3sqrt(3) ?

The general solution for tan(2x+60)=3sqrt(3) is x=-30+(pin)/2+(1.38067…)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(2x+60)=3sqrt(3)

tan (2 x + 60) = 33

x = - 30 + \frac{πn}{2} + \frac{1.38067 \dots}{2}

Degrees

x = - 1679.32008 \dots^{\circ} + 9 0^{\circ} n

Solution steps

tan (2 x + 60) = 33

Apply trig inverse properties

tan (2 x + 60) = 33

General solutions for

tan (2 x + 60) = 33

tan (x) = a \Rightarrow x = arctan (a) + πn

2 x + 60 = arctan (33) + πn

2 x + 60 = arctan (33) + πn

Solve

2 x + 60 = arctan (33) + πn : x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

2 x + 60 = arctan (33) + πn

Move

60

to the right side

2 x + 60 = arctan (33) + πn

Subtract

60

from both sides

2 x + 60 - 60 = arctan (33) + πn - 60

Simplify

2 x = arctan (33) + πn - 60

2 x = arctan (33) + πn - 60

Divide both sides by

2

2 x = arctan (33) + πn - 60

Divide both sides by

2

\frac{2 x}{2} = \frac{arctan ( 3 3 )}{2} + \frac{πn}{2} - \frac{60}{2}

Simplify

\frac{2 x}{2} = \frac{arctan ( 3 3 )}{2} + \frac{πn}{2} - \frac{60}{2}

Simplify

\frac{2 x}{2} : x

\frac{2 x}{2}

Divide the numbers:

\frac{2}{2} = 1

= x

Simplify

\frac{arctan ( 3 3 )}{2} + \frac{πn}{2} - \frac{60}{2} : - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

\frac{arctan ( 3 3 )}{2} + \frac{πn}{2} - \frac{60}{2}

Group like terms

= - \frac{60}{2} + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

Divide the numbers:

\frac{60}{2} = 30

= - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

x = - 30 + \frac{πn}{2} + \frac{arctan ( 3 3 )}{2}

Show solutions in decimal form

x = - 30 + \frac{πn}{2} + \frac{1.38067 \dots}{2}

cos (\frac{π}{3} + x) = sin (3 0^{\circ} - x)

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

tan (x) - tan (\frac{π}{18}) = 1 + tan (x) tan (\frac{π}{18})

cos (θ) = \frac{2}{5}, cot (θ) < 0

θ, cos (θ) = \frac{2}{2}

What is the general solution for tan(2x+60)=3sqrt(3) ?
The general solution for tan(2x+60)=3sqrt(3) is x=-30+(pin)/2+(1.38067…)/2