What is the general solution for tan(x)= 10/18 ?

The general solution for tan(x)= 10/18 is x=0.50709…+pin

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tan(x)= 10/18

tan (x) = \frac{10}{18}

x = 0.50709 \dots + πn

Degrees

x = 29.05460 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{10}{18}

Cancel the common factor:

2

tan (x) = \frac{5}{9}

Apply trig inverse properties

tan (x) = \frac{5}{9}

General solutions for

tan (x) = \frac{5}{9}

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

x = arctan (\frac{5}{9}) + πn

x = arctan (\frac{5}{9}) + πn

Show solutions in decimal form

x = 0.50709 \dots + πn

\frac{( 1 + cot ^{2} ( x ) )}{cos ^{2} ( x )} = cot^{2} (x)

sin (2 p + 1) = - 1

y, a \cdot z = 5 sin (2 y)

sin^{3} (x) = sin^{2} (x)

2 sec^{2} (a) + tan^{2} (a) = 3

What is the general solution for tan(x)= 10/18 ?
The general solution for tan(x)= 10/18 is x=0.50709…+pin