What is the general solution for 4tan(x)+3=-7 ?

The general solution for 4tan(x)+3=-7 is x=-1.19028…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4tan(x)+3=-7

4 tan (x) + 3 = - 7

x = - 1.19028 \dots + πn

Degrees

x = - 68.19859 \dots^{\circ} + 18 0^{\circ} n

Solution steps

4 tan (x) + 3 = - 7

Move

3

to the right side

4 tan (x) + 3 = - 7

Subtract

3

from both sides

4 tan (x) + 3 - 3 = - 7 - 3

Simplify

4 tan (x) = - 10

4 tan (x) = - 10

Divide both sides by

4

4 tan (x) = - 10

Divide both sides by

4

\frac{4 tan ( x )}{4} = \frac{- 10}{4}

Simplify

\frac{4 tan ( x )}{4} = \frac{- 10}{4}

Simplify

\frac{4 tan ( x )}{4} : tan (x)

\frac{4 tan ( x )}{4}

Divide the numbers:

\frac{4}{4} = 1

= tan (x)

Simplify

\frac{- 10}{4} : - \frac{5}{2}

\frac{- 10}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{10}{4}

Cancel the common factor:

2

= - \frac{5}{2}

tan (x) = - \frac{5}{2}

tan (x) = - \frac{5}{2}

tan (x) = - \frac{5}{2}

Apply trig inverse properties

tan (x) = - \frac{5}{2}

General solutions for

tan (x) = - \frac{5}{2}

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

x = arctan (- \frac{5}{2}) + πn

x = arctan (- \frac{5}{2}) + πn

Show solutions in decimal form

x = - 1.19028 \dots + πn

8 tan (θ) + 15 = 0

cos (x) = \frac{48.4}{54.5}

(sin (x^{3} + 2 x - 1)) a = 1

cos (θ) = - \frac{7}{10}

cot (b) = \frac{tan ( b ) cot ( b )}{csc ( b )}

What is the general solution for 4tan(x)+3=-7 ?
The general solution for 4tan(x)+3=-7 is x=-1.19028…+pin