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

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

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tan(a)= 5/12

tan (a) = \frac{5}{12}

a = 0.39479 \dots + πn

Degrees

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

Solution steps

tan (a) = \frac{5}{12}

Apply trig inverse properties

tan (a) = \frac{5}{12}

General solutions for

tan (a) = \frac{5}{12}

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

a = arctan (\frac{5}{12}) + πn

a = arctan (\frac{5}{12}) + πn

Show solutions in decimal form

a = 0.39479 \dots + πn

2 sin (x) - 3 = - csc (x)

cos^{2} (x) + 1 = 4

1 = sin^{2} (x)

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

tan^{2} (x) = 1 + sec (x)

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