Is (cos(b))/(sin(b))= 1/(tan(b)) ?

The answer to whether (cos(b))/(sin(b))= 1/(tan(b)) is True

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prove (cos(b))/(sin(b))= 1/(tan(b))

prove

\frac{cos ( b )}{sin ( b )} = \frac{1}{tan ( b )}

True

Solution steps

\frac{cos ( b )}{sin ( b )} = \frac{1}{tan ( b )}

Manipulating right side

\frac{1}{tan ( b )}

Express with sin, cos

\frac{1}{tan ( b )}

Use the basic trigonometric identity:

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

= \frac{1}{\frac{s i n ( b )}{c o s ( b )}}

Simplify

\frac{1}{\frac{s i n ( b )}{c o s ( b )}} : \frac{cos ( b )}{sin ( b )}

\frac{1}{\frac{s i n ( b )}{c o s ( b )}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{cos ( b )}{sin ( b )}

= \frac{cos ( b )}{sin ( b )}

= \frac{cos ( b )}{sin ( b )}

We showed that the two sides could take the same form

\Rightarrow True

\frac{cos ( θ ) csc ( θ )}{cot ^{2} ( θ )} = tan (θ)

cos (\frac{3 π}{2}) = cos (\frac{π}{2})

csc (\frac{π}{2} - x) cos (x) = sec (x) cos (x)

1 + 0 + 1 = - 2 cos (0) + 4

(1 - sin^{2} (y)) (1 + tan^{2} (y)) = 1

Is (cos(b))/(sin(b))= 1/(tan(b)) ?
The answer to whether (cos(b))/(sin(b))= 1/(tan(b)) is True