Is sin(x)+cos(x)= 1/(cot(x)) ?

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

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prove sin(x)+cos(x)= 1/(cot(x))

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

sin (1) + cos (1) = 1.38177 \dots

sin (1) + cos (1)

Refine to a decimal form

= 1.38177 \dots

\frac{1}{cot ( 1 )} = 1.55740 \dots

\frac{1}{cot ( 1 )}

Refine to a decimal form

= 1.55740 \dots

The two sides are not equal

\Rightarrow False

\frac{sin ( x )}{1 - cos ( x )} = 1 + cos (x)

1 + cos (a) = 2 cos^{2} (\frac{a}{2})

tan (\frac{41 π}{2} + x) + cot (π + x) = 0

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

sin (2 θ) = cot (θ) (1 - cos (2 θ))

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