What is the general solution for 1=4tan(-4/81+c) ?

The general solution for 1=4tan(-4/81+c) is c=0.24497…+pin+4/81

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1=4tan(-4/81+c)

1 = 4 tan (- \frac{4}{81} + c)

c = 0.24497 \dots + πn + \frac{4}{81}

Solution steps

1 = 4 tan (- \frac{4}{81} + c)

Switch sides

4 tan (- \frac{4}{81} + c) = 1

Divide both sides by

4

tan (- \frac{4}{81} + c) = \frac{1}{4}

Apply trig inverse properties

- \frac{4}{81} + c = arctan (\frac{1}{4}) + πn

Solve

- \frac{4}{81} + c = arctan (\frac{1}{4}) + πn : c = arctan (\frac{1}{4}) + πn + \frac{4}{81}

c = arctan (\frac{1}{4}) + πn + \frac{4}{81}

Show solutions in decimal form

c = 0.24497 \dots + πn + \frac{4}{81}

15 cos^{2} (x) + 7 cos (x) - 2 = 0

2 (sin (t))^{2} - sin (t) - 1 = 0

cos (x) = 0.625

0 = 2 cos (t)

sin (z) \cdot cos (z) = 1

What is the general solution for 1=4tan(-4/81+c) ?
The general solution for 1=4tan(-4/81+c) is c=0.24497…+pin+4/81