How do you verify this trig identity?
2 answers:
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)
Step-by-step explanation:

Rewrite csc(x) in terms of sin

Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.

Notice that cotangent and tan are reciprocal so

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