Is (-cos(x))/(sin(x))=cot(x) ?

The answer to whether (-cos(x))/(sin(x))=cot(x) is False

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prove (-cos(x))/(sin(x))=cot(x)

prove

\frac{- cos ( x )}{sin ( x )} = cot (x)

False

Solution steps

\frac{- cos ( x )}{sin ( x )} = cot (x)

Show that the two sides are not equal

For

\frac{- cos ( x )}{sin ( x )} = cot (x)

plug in

x = 1

\frac{- cos ( 1 )}{sin ( 1 )} = - 0.64209 \dots

\frac{- cos ( 1 )}{sin ( 1 )}

Refine to a decimal form

= - 0.64209 \dots

cot (1) = 0.64209 \dots

cot (1)

Refine to a decimal form

= 0.64209 \dots

The two sides are not equal

\Rightarrow False

sin (- \frac{2 π}{5}) = - sin (\frac{2 π}{5})

sin (θ) - tan (θ) = \frac{sin ( θ )}{1 - cos ( θ )}

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

tan (θ) - sec (θ) = - \frac{cos ( θ )}{1 + sin ( θ )}

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

Is (-cos(x))/(sin(x))=cot(x) ?
The answer to whether (-cos(x))/(sin(x))=cot(x) is False