What is the general solution for tan(a)= 20/15 ?

The general solution for tan(a)= 20/15 is a=0.92729…+pin

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tan(a)= 20/15

tan (a) = \frac{20}{15}

a = 0.92729 \dots + πn

Degrees

a = 53.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (a) = \frac{20}{15}

Cancel the common factor:

5

tan (a) = \frac{4}{3}

Apply trig inverse properties

tan (a) = \frac{4}{3}

General solutions for

tan (a) = \frac{4}{3}

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

a = arctan (\frac{4}{3}) + πn

a = arctan (\frac{4}{3}) + πn

Show solutions in decimal form

a = 0.92729 \dots + πn

sin (x) = - \frac{8}{8 13}

cos (x) = 1.76819

2 sin (2 x) = sin (2 x)

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

x, - sin (x) - cos (x) = 0

What is the general solution for tan(a)= 20/15 ?
The general solution for tan(a)= 20/15 is a=0.92729…+pin