What is the general solution for tan(t)=(-5)/(12) ?

The general solution for tan(t)=(-5)/(12) is t=-0.39479…+pin

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tan(t)=(-5)/(12)

tan (t) = \frac{- 5}{12}

t = - 0.39479 \dots + πn

Degrees

t = - 22.61986 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (t) = \frac{- 5}{12}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

tan (t) = - \frac{5}{12}

Apply trig inverse properties

tan (t) = - \frac{5}{12}

General solutions for

tan (t) = - \frac{5}{12}

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

t = arctan (- \frac{5}{12}) + πn

t = arctan (- \frac{5}{12}) + πn

Show solutions in decimal form

t = - 0.39479 \dots + πn

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

x, arctan (x) = 0

5 sin (x) = - 3

csc^{2} (x) = 2 \cdot cot^{2} (x)

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

What is the general solution for tan(t)=(-5)/(12) ?
The general solution for tan(t)=(-5)/(12) is t=-0.39479…+pin