What is the general solution for tan(t)=14 ?

The general solution for tan(t)=14 is t=1.49948…+pin

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tan(t)=14

tan (t) = 14

t = 1.49948 \dots + πn

Degrees

t = 85.91438 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (t) = 14

Apply trig inverse properties

tan (t) = 14

General solutions for

tan (t) = 14

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

t = arctan (14) + πn

t = arctan (14) + πn

Show solutions in decimal form

t = 1.49948 \dots + πn

cos (A) = \frac{5}{8}

sin (9 x + 40) = cos (- 5 x + 42)

sin^{2} (a) = - \frac{( 5 11 )}{( 18 )}

3.87 sin (\frac{2 π ( t + 101.75 )}{365}) + 11.7 = 14

2 sin (2 x) = 3, 0 \leq x \leq 2 π

What is the general solution for tan(t)=14 ?
The general solution for tan(t)=14 is t=1.49948…+pin