What is the general solution for tan(x)+1= 1/5 ?

The general solution for tan(x)+1= 1/5 is x=-0.67474…+pin

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tan(x)+1= 1/5

tan (x) + 1 = \frac{1}{5}

x = - 0.67474 \dots + πn

Solution steps

tan (x) + 1 = \frac{1}{5}

Move

1

to the right side

tan (x) = - \frac{4}{5}

Apply trig inverse properties

x = arctan (- \frac{4}{5}) + πn

Show solutions in decimal form

x = - 0.67474 \dots + πn

cos (2 x) = \frac{119}{169}

x, 2 cos (x) - 1 = 0

2 sin (2 x) = - 2

tan^{4} (x) + 2 tan^{2} (x) - 7 = 0

cos (x) = 2 + 3 sin (x)

What is the general solution for tan(x)+1= 1/5 ?
The general solution for tan(x)+1= 1/5 is x=-0.67474…+pin