What is the general solution for -6/7 =tan(t) ?

The general solution for -6/7 =tan(t) is t=-0.70862…+pin

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-6/7 =tan(t)

- \frac{6}{7} = tan (t)

t = - 0.70862 \dots + πn

Degrees

t = - 40.60129 \dots^{\circ} + 18 0^{\circ} n

Solution steps

- \frac{6}{7} = tan (t)

Switch sides

tan (t) = - \frac{6}{7}

Apply trig inverse properties

tan (t) = - \frac{6}{7}

General solutions for

tan (t) = - \frac{6}{7}

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

t = arctan (- \frac{6}{7}) + πn

t = arctan (- \frac{6}{7}) + πn

Show solutions in decimal form

t = - 0.70862 \dots + πn

sin (2 x) = 3

sin (3 x) cos (2 x) = 0

sin (- 2 x) = \frac{- 1}{2}

2 cos (x) sin (x) = 1

cos (2 x + 15) = 0.3

What is the general solution for -6/7 =tan(t) ?
The general solution for -6/7 =tan(t) is t=-0.70862…+pin