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

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

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

prove

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

True

Solution steps

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

Manipulating left side

\frac{tan ( x )}{1}

Express with sin, cos

\frac{tan ( x )}{1}

Use the basic trigonometric identity:

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

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

Simplify

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

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

Apply the fraction rule:

\frac{a}{1} = a

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

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

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

We showed that the two sides could take the same form

\Rightarrow True

2 cos^{2} (x) = cos (2 x)

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

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

cos (x^{2}) - cos (x^{2}) = - 2 cos^{2} (x)

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

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