What is the general solution for tan(x)= 6/10 ?

The general solution for tan(x)= 6/10 is x=0.54041…+pin

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tan(x)= 6/10

tan (x) = \frac{6}{10}

x = 0.54041 \dots + πn

Degrees

x = 30.96375 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{6}{10}

Cancel the common factor:

2

tan (x) = \frac{3}{5}

Apply trig inverse properties

tan (x) = \frac{3}{5}

General solutions for

tan (x) = \frac{3}{5}

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

x = arctan (\frac{3}{5}) + πn

x = arctan (\frac{3}{5}) + πn

Show solutions in decimal form

x = 0.54041 \dots + πn

tan (A) = 34

2 sec (x) = 2

- 2 cos (2 θ) + 9 cos (θ) + 4 = cos (θ) + 1

csc^{2} (2 x) - cot (2 x) = 1

100 tan (x) - 8 = 50 tan (x)

What is the general solution for tan(x)= 6/10 ?
The general solution for tan(x)= 6/10 is x=0.54041…+pin