What is the general solution for (tan(a))/2 = 2/11 ?

The general solution for (tan(a))/2 = 2/11 is a=0.34877…+pin

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(tan(a))/2 = 2/11

\frac{tan ( a )}{2} = \frac{2}{11}

a = 0.34877 \dots + πn

Degrees

a = 19.98310 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{tan ( a )}{2} = \frac{2}{11}

Multiply both sides by

2

\frac{tan ( a )}{2} = \frac{2}{11}

Multiply both sides by

2

\frac{2 tan ( a )}{2} = \frac{2 \cdot 2}{11}

Simplify

\frac{2 tan ( a )}{2} = \frac{2 \cdot 2}{11}

Simplify

\frac{2 tan ( a )}{2} : tan (a)

\frac{2 tan ( a )}{2}

Divide the numbers:

\frac{2}{2} = 1

= tan (a)

Simplify

\frac{2 \cdot 2}{11} : \frac{4}{11}

\frac{2 \cdot 2}{11}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4}{11}

tan (a) = \frac{4}{11}

tan (a) = \frac{4}{11}

tan (a) = \frac{4}{11}

Apply trig inverse properties

tan (a) = \frac{4}{11}

General solutions for

tan (a) = \frac{4}{11}

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

a = arctan (\frac{4}{11}) + πn

a = arctan (\frac{4}{11}) + πn

Show solutions in decimal form

a = 0.34877 \dots + πn

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

cos (x) [3 sin (x) - 2] = 0

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

a, sin^{2} (a) + cos^{2} (b) = 1

sin^{4} (x) = - cos (x)

What is the general solution for (tan(a))/2 = 2/11 ?
The general solution for (tan(a))/2 = 2/11 is a=0.34877…+pin