What is the general solution for 7tan(c)+7=2tan(c)+1 ?

The general solution for 7tan(c)+7=2tan(c)+1 is c=-0.87605…+pin

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7tan(c)+7=2tan(c)+1

7 tan (c) + 7 = 2 tan (c) + 1

c = - 0.87605 \dots + πn

Solution steps

7 tan (c) + 7 = 2 tan (c) + 1

Solve by substitution

tan (c) = - \frac{6}{5}

tan (c) = - \frac{6}{5} : c = arctan (- \frac{6}{5}) + πn

Combine all the solutions

c = arctan (- \frac{6}{5}) + πn

Show solutions in decimal form

c = - 0.87605 \dots + πn

cos (2 x) cos (x) - sin (2 x) sin (x) = 1

sin (x - \frac{π}{2}) = - \frac{2}{2}

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

- 8 sin (θ) + 5 = 5

(csc (a) + 1) (csc (a) + 1) = cot^{2} (a)

What is the general solution for 7tan(c)+7=2tan(c)+1 ?
The general solution for 7tan(c)+7=2tan(c)+1 is c=-0.87605…+pin