What is the general solution for tan(x)= 1/10 ?

The general solution for tan(x)= 1/10 is x=0.09966…+pin

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tan(x)= 1/10

tan (x) = \frac{1}{10}

x = 0.09966 \dots + πn

Solution steps

tan (x) = \frac{1}{10}

Apply trig inverse properties

x = arctan (\frac{1}{10}) + πn

Show solutions in decimal form

x = 0.09966 \dots + πn

cos^{2} (2 x) + 1 + sin (2 x) = 2

8 sin^{2} (x) 2 cos (x) = 7, 0 \leq x \leq 2 π

2 sin^{2} (x) - sin (x) + 3 = 4

9 cos (2 x) = 9 cos^{2} (x) - 4

2 - cos (x) = 0

What is the general solution for tan(x)= 1/10 ?
The general solution for tan(x)= 1/10 is x=0.09966…+pin