What is the general solution for cot(a)= 7/(sqrt(51)) ?

The general solution for cot(a)= 7/(sqrt(51)) is a=0.79539…+pin

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cot(a)= 7/(sqrt(51))

cot (a) = \frac{7}{51}

a = 0.79539 \dots + πn

Solution steps

cot (a) = \frac{7}{51}

Simplify

\frac{7}{51} : \frac{7 51}{51}

\frac{7}{51}

Multiply by the conjugate

\frac{51}{51}

= \frac{7 51}{51 51}

5151 = 51

5151

Apply radical rule:

a a = a

5151 = 51

= 51

= \frac{7 51}{51}

cot (a) = \frac{7 51}{51}

Apply trig inverse properties

cot (a) = \frac{7 51}{51}

General solutions for

cot (a) = \frac{7 51}{51}

cot (x) = a \Rightarrow x = arccot (a) + πn

a = arccot (\frac{7 51}{51}) + πn

a = arccot (\frac{7 51}{51}) + πn

Show solutions in decimal form

a = 0.79539 \dots + πn

sin (x) = \frac{39}{44}

arctan (0.5) - arctan (\frac{1}{3}) = arctan (x)

arctan (x) = 3 0^{\circ}

x, - cos (x) + \frac{1}{y} = c

cos^{2} (x) - 3 sin (x) - 2 = 0

What is the general solution for cot(a)= 7/(sqrt(51)) ?
The general solution for cot(a)= 7/(sqrt(51)) is a=0.79539…+pin