What is expand cotan(2/11+24/7) ?

The solution to expand cotan(2/11+24/7) is tan(278/77)co

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expand cotan(2/11+24/7)

expand

co tan (\frac{2}{11} + \frac{24}{7})

tan (\frac{278}{77}) co

Solution steps

co tan (\frac{2}{11} + \frac{24}{7})

Rewrite using trig identities

= co \frac{- sin ( \frac{2}{11} ) cos ( \frac{24}{7} ) - cos ( \frac{2}{11} ) sin ( \frac{24}{7} )}{sin ( \frac{2}{11} ) sin ( \frac{24}{7} ) - cos ( \frac{2}{11} ) cos ( \frac{24}{7} )}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( - sin ( \frac{2}{11} ) cos ( \frac{24}{7} ) - cos ( \frac{2}{11} ) sin ( \frac{24}{7} ) ) co}{sin ( \frac{2}{11} ) sin ( \frac{24}{7} ) - cos ( \frac{2}{11} ) cos ( \frac{24}{7} )}

Use the Angle Sum identity:

sin (s) cos (t) + cos (s) sin (t) = sin (s + t)

- sin (s) cos (t) - cos (s) sin (t) = - sin (s + t)

= \frac{( - sin ( \frac{2}{11} + \frac{24}{7} ) ) co}{sin ( \frac{2}{11} ) sin ( \frac{24}{7} ) - cos ( \frac{2}{11} ) cos ( \frac{24}{7} )}

Remove parentheses:

(- a) = - a

= \frac{- sin ( \frac{2}{11} + \frac{24}{7} ) co}{sin ( \frac{2}{11} ) sin ( \frac{24}{7} ) - cos ( \frac{2}{11} ) cos ( \frac{24}{7} )}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{sin ( \frac{2}{11} + \frac{24}{7} ) co}{sin ( \frac{2}{11} ) sin ( \frac{24}{7} ) - cos ( \frac{2}{11} ) cos ( \frac{24}{7} )}

Join

\frac{2}{11} + \frac{24}{7} : \frac{278}{77}

= - \frac{sin ( \frac{278}{77} ) co}{sin ( \frac{2}{11} ) sin ( \frac{24}{7} ) - cos ( \frac{2}{11} ) cos ( \frac{24}{7} )}

Use the Angle Sum identity:

cos (s) cos (t) - sin (s) sin (t) = cos (s + t)

- cos (s) cos (t) + sin (s) sin (t) = - cos (s + t)

= - \frac{sin ( \frac{278}{77} ) co}{- cos ( \frac{2}{11} + \frac{24}{7} )}

Refine

= \frac{sin ( \frac{278}{77} ) co}{cos ( \frac{2}{11} + \frac{24}{7} )}

Join

\frac{2}{11} + \frac{24}{7} : \frac{278}{77}

= \frac{sin ( \frac{278}{77} ) co}{cos ( \frac{278}{77} )}

Use the basic trigonometric identity:

\frac{sin ( x )}{cos ( x )} = tan (x)

= co tan (\frac{278}{77})

5 (9 - 6)

\frac{f ( x ) ( x ^{2} + 2 x - 1 )}{x + 3}

(z - 1) \cdot (z - \frac{4}{5})

11 (8 e + 3 f)

- \frac{5 ( 12 22 - 11 3 )}{66}

What is expand cotan(2/11+24/7) ?
The solution to expand cotan(2/11+24/7) is tan(278/77)co