prove cot(-x)=-cot(x)

Solution

prove

cot (- x) = - cot (x)

True

Solution steps

cot (- x) = - cot (x)

Manipulating left side

cot (- x)

Use the negative angle identity:

cot (- x) = - cot (x)

= - cot (x)

We showed that the two sides could take the same form

\Rightarrow True

sec^{2} (\frac{π}{2} - x) - 1 = cot^{2} (x)

4 cos^{2} (x) + 4 sin^{2} (x) = 4

tan (θ) + cot (θ) = (sec (θ)) (csc (θ))

csc (w) - sin (w) = cot (w) cos (w)

\frac{csc ( t ) + 1}{cot ( t )} = \frac{cot ( t )}{csc ( t ) - 1}