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

The general solution for tan(t)=7 is t=1.42889…+pin

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tan(t)=7

tan (t) = 7

t = 1.42889 \dots + πn

Degrees

t = 81.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (t) = 7

Apply trig inverse properties

tan (t) = 7

General solutions for

tan (t) = 7

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

t = arctan (7) + πn

t = arctan (7) + πn

Show solutions in decimal form

t = 1.42889 \dots + πn

cos (x) + cos (x) = 0

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

cos (t) = \frac{8}{17}

sin^{2} (x) - 5 sin (x) cos (x) + 6 cos^{2} (x) = 0

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

What is the general solution for tan(t)=7 ?
The general solution for tan(t)=7 is t=1.42889…+pin