What is (\frac{sin(x))/(cos(x))}{sin(x)} ?

The solution to (\frac{sin(x))/(cos(x))}{sin(x)} is sec(x)

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simplify (\frac{sin(x))/(cos(x))}{sin(x)}

simplify

\frac{\frac{s i n ( x )}{c o s ( x )}}{sin ( x )}

sec (x)

Solution steps

\frac{\frac{s i n ( x )}{c o s ( x )}}{sin ( x )}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

Cancel the common factor:

sin (x)

= \frac{1}{cos ( x )}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= sec (x)

(4 x^{2} + 2) (6 x^{2} + 8 x + 5)

\frac{0}{\frac{1}{2}}

\frac{1}{3} - \frac{3}{5}

4 x (3 x^{2} + 2 x - 1)

(1 - sin (θ)) (1 + cos (θ)) sin (θ)

What is (\frac{sin(x))/(cos(x))}{sin(x)} ?
The solution to (\frac{sin(x))/(cos(x))}{sin(x)} is sec(x)