Is cot(45)=(cos(45))/(sin(45)) ?

The answer to whether cot(45)=(cos(45))/(sin(45)) is True

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prove cot(45)=(cos(45))/(sin(45))

prove

cot (4 5^{\circ}) = \frac{cos ( 4 5 ^{\circ} )}{sin ( 4 5 ^{\circ} )}

True

Solution steps

cot (4 5^{\circ}) = \frac{cos ( 4 5 ^{\circ} )}{sin ( 4 5 ^{\circ} )}

Use the basic trigonometric identity:

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

\Rightarrow True

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

\frac{1 - tan ^{2} ( x )}{1 + tan ^{2} ( x )} = tan (x)

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

cot (2 x) + csc (2 x) = cot (x)

sin (x - \frac{π}{2}) + sin (x + \frac{π}{2}) = 0

Is cot(45)=(cos(45))/(sin(45)) ?
The answer to whether cot(45)=(cos(45))/(sin(45)) is True