What is the general solution for tan(x)=(5.1)/(10.5) ?

The general solution for tan(x)=(5.1)/(10.5) is x=0.45215…+pin

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tan(x)=(5.1)/(10.5)

tan (x) = \frac{5.1}{10.5}

x = 0.45215 \dots + πn

Degrees

x = 25.90650 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{5.1}{10.5}

Apply trig inverse properties

tan (x) = \frac{5.1}{10.5}

General solutions for

tan (x) = \frac{5.1}{10.5}

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

x = arctan (\frac{5.1}{10.5}) + πn

x = arctan (\frac{5.1}{10.5}) + πn

Show solutions in decimal form

x = 0.45215 \dots + πn

tan (x) = 3, 0 \leq x < 2 π

3 tan^{2} (x) + 4 tan (x) - 3 = 0

sin (2 x) = 3 cos (x), 0 \leq x \leq 2 π

2 tan (A) - 1 = 0

cos^{2} (t) + \frac{9}{49} = 1

What is the general solution for tan(x)=(5.1)/(10.5) ?
The general solution for tan(x)=(5.1)/(10.5) is x=0.45215…+pin