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

The general solution for tan(x)=sqrt(3)+2 is x=1.30899…+pin

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tan(x)=sqrt(3)+2

tan (x) = 3 + 2

x = 1.30899 \dots + πn

Degrees

x = 7 5^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 3 + 2

Apply trig inverse properties

tan (x) = 3 + 2

General solutions for

tan (x) = 3 + 2

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

x = arctan (3 + 2) + πn

x = arctan (3 + 2) + πn

Show solutions in decimal form

x = 1.30899 \dots + πn

tan (2 x) = (\frac{( 300 )}{200 - ( - 400 )} \cdot 2)

cos (2 x) = 0.37

15 cot^{2} (x) = 5

cos (2 x) - sin (x) = 1, 0 \leq x < 2 π

sec^{2} (x) + 5 sec (x) - 14 = 0

What is the general solution for tan(x)=sqrt(3)+2 ?
The general solution for tan(x)=sqrt(3)+2 is x=1.30899…+pin