Is cos(x)=(cot(x))/(tan(x)) ?

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

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prove cos(x)=(cot(x))/(tan(x))

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

cos (1) = 0.54030 \dots

cos (1)

Refine to a decimal form

= 0.54030 \dots

\frac{cot ( 1 )}{tan ( 1 )} = 0.41228 \dots

\frac{cot ( 1 )}{tan ( 1 )}

Refine to a decimal form

= 0.41228 \dots

The two sides are not equal

\Rightarrow False

p ro v e cos^{2} (2 a) - sin^{2} (2 a) = cos (4 a)

p ro v e tan (2 x) - 2 cos (x) = 0

p ro v e cos^{2} (a) cot^{2} (a) = cot^{2} (a) - cos^{2} (a)

p ro v e cos (θ) = \frac{1}{2}

p ro v e csc (2 x) = \frac{1}{sin ^{2} ( x ) - 1}

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