What is the general solution for tan(a)= 3/8 ?

The general solution for tan(a)= 3/8 is a=0.35877…+pin

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tan(a)= 3/8

tan (a) = \frac{3}{8}

a = 0.35877 \dots + πn

Degrees

a = 20.55604 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (a) = \frac{3}{8}

Apply trig inverse properties

tan (a) = \frac{3}{8}

General solutions for

tan (a) = \frac{3}{8}

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

a = arctan (\frac{3}{8}) + πn

a = arctan (\frac{3}{8}) + πn

Show solutions in decimal form

a = 0.35877 \dots + πn

sin (2 x + 10) = cos (3 x - 20)

sin^{3} (x) = - \frac{2}{3}

x, tan^{2} (x) = tan^{2} (y)

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

- 6 sin (x) - 5 cos (x) = 2

What is the general solution for tan(a)= 3/8 ?
The general solution for tan(a)= 3/8 is a=0.35877…+pin