What is the general solution for tan(45+x/3)=0.58 ?

The general solution for tan(45+x/3)=0.58 is x=3*0.52558…+540n-135

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(45+x/3)=0.58

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

x = 3 \cdot 0.52558 \dots + 54 0^{\circ} n - 13 5^{\circ}

Radians

x = 3 \cdot 0.52558 \dots - \frac{3 π}{4} + 3 πn

Solution steps

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

Apply trig inverse properties

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

General solutions for

tan (4 5^{\circ} + \frac{x}{3}) = 0.58

tan (x) = a \Rightarrow x = arctan (a) + 18 0^{\circ} n

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

Solve

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n : x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

Move

4 5^{\circ}

to the right side

4 5^{\circ} + \frac{x}{3} = arctan (0.58) + 18 0^{\circ} n

Subtract

4 5^{\circ}

from both sides

4 5^{\circ} + \frac{x}{3} - 4 5^{\circ} = arctan (0.58) + 18 0^{\circ} n - 4 5^{\circ}

Simplify

\frac{x}{3} = arctan (0.58) + 18 0^{\circ} n - 4 5^{\circ}

\frac{x}{3} = arctan (0.58) + 18 0^{\circ} n - 4 5^{\circ}

Multiply both sides by

3

\frac{x}{3} = arctan (0.58) + 18 0^{\circ} n - 4 5^{\circ}

Multiply both sides by

3

\frac{3 x}{3} = 3 arctan (0.58) + 54 0^{\circ} n - 3 \cdot 4 5^{\circ}

Simplify

\frac{3 x}{3} = 3 arctan (0.58) + 54 0^{\circ} n - 3 \cdot 4 5^{\circ}

Simplify

\frac{3 x}{3} : x

\frac{3 x}{3}

Divide the numbers:

\frac{3}{3} = 1

= x

Simplify

3 arctan (0.58) + 54 0^{\circ} n - 3 \cdot 4 5^{\circ} : 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

3 arctan (0.58) + 54 0^{\circ} n - 3 \cdot 4 5^{\circ}

Multiply

3 \cdot 4 5^{\circ} : 13 5^{\circ}

3 \cdot 4 5^{\circ}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 13 5^{\circ}

= 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

x = 3 arctan (0.58) + 54 0^{\circ} n - 13 5^{\circ}

Show solutions in decimal form

x = 3 \cdot 0.52558 \dots + 54 0^{\circ} n - 13 5^{\circ}

r = a (1 + sin (x))

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

tan (Θ) = 1.4, 18 0^{\circ} <, Θ < 27 0^{\circ}

(1 + 4 cos (θ))^{2} = (3 sin (θ))

sin (θ) - \frac{cos ( θ )}{5} = 0.6377

What is the general solution for tan(45+x/3)=0.58 ?
The general solution for tan(45+x/3)=0.58 is x=3*0.52558…+540n-135