What is the general solution for tan(35)tan(56-x)=1 ?

The general solution for tan(35)tan(56-x)=1 is x=-180n+56-0.95993…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(35)tan(56-x)=1

tan (3 5^{\circ}) tan (5 6^{\circ} - x) = 1

x = - 18 0^{\circ} n + 5 6^{\circ} - 0.95993 \dots

Solution steps

tan (3 5^{\circ}) tan (5 6^{\circ} - x) = 1

Divide both sides by

tan (3 5^{\circ})

tan (5 6^{\circ} - x) = \frac{1}{tan ( 3 5 ^{\circ} )}

Apply trig inverse properties

5 6^{\circ} - x = arctan (\frac{1}{tan ( 3 5 ^{\circ} )}) + 18 0^{\circ} n

Solve

5 6^{\circ} - x = arctan (\frac{1}{tan ( 3 5 ^{\circ} )}) + 18 0^{\circ} n : x = - 18 0^{\circ} n + 5 6^{\circ} - arctan (\frac{1}{tan ( 3 5 ^{\circ} )})

x = - 18 0^{\circ} n + 5 6^{\circ} - arctan (\frac{1}{tan ( 3 5 ^{\circ} )})

Show solutions in decimal form

x = - 18 0^{\circ} n + 5 6^{\circ} - 0.95993 \dots

42.25 = 0.1681 cos (b)

\frac{tan ( 3 x )}{tan ( 2 x )} = 1

6 cot (x) = 5 - tan (x)

3 cos (θ) - 3 = 0

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

What is the general solution for tan(35)tan(56-x)=1 ?
The general solution for tan(35)tan(56-x)=1 is x=-180n+56-0.95993…