Is (1+cos(a))/(sin(a))=cot(a/s) ?

The answer to whether (1+cos(a))/(sin(a))=cot(a/s) is False

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prove (1+cos(a))/(sin(a))=cot(a/s)

prove

\frac{1 + cos ( a )}{sin ( a )} = cot (\frac{a}{s})

False

Solution steps

\frac{1 + cos ( a )}{sin ( a )} = cot (\frac{a}{s})

Show that the two sides are not equal

For

\frac{1 + cos ( a )}{sin ( a )} = cot (\frac{a}{s})

plug in

s = π

For

\frac{1 + cos ( a )}{sin ( a )} = cot (\frac{a}{s})

plug in

a = \frac{1}{2}

\frac{1 + cos ( \frac{1}{2} )}{sin ( \frac{1}{2} )} = 3.91631 \dots

\frac{1 + cos ( \frac{1}{2} )}{sin ( \frac{1}{2} )}

Refine to a decimal form

= 3.91631 \dots

cot (\frac{\frac{1}{2}}{π}) = 6.23004 \dots

cot (\frac{\frac{1}{2}}{π})

Refine to a decimal form

= 6.23004 \dots

The two sides are not equal

\Rightarrow False

cot (x) (1 - cos (2 x)) = 2 cos^{2} (x) tan (x)

8 \cdot sin^{4} (θ) = cos (4 θ) + 4 \cdot cos (2 θ) - 3

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

tan^{2} (θ) = sin^{2} (θ) sec^{2} (θ)

cos^{2} (θ) - sin^{2} (θ) = 1 - tan^{2} (θ)

Is (1+cos(a))/(sin(a))=cot(a/s) ?
The answer to whether (1+cos(a))/(sin(a))=cot(a/s) is False