Answer:
Step-by-step explanation:
\frac{ \sin(x) \csc(x) }{ \cot(x) }
cot(x)
sin(x)csc(x)
Rewrite csc(x) in terms of sin
\frac{ \sin(x) \frac{1}{ \sin(x) } }{ \cot(x) }
cot(x)
sin(x)
sin(x)
1
Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.
\frac{1}{ \cot(x) }
cot(x)
1
Notice that cotangent and tan are reciprocal so
\tan(x) = \tan(x)tan(x)=tan(x)
