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How do you verify this trig identity?

How do you verify this trig identity?-example-1
User Charles Xu
by
8.1k points

2 Answers

1 vote

Answer:

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)

User Tyrice
by
8.6k points
2 votes

Explanation:


( \sin(x) \csc(x) )/( \cot(x) )

Rewrite csc(x) in terms of sin


( \sin(x) (1)/( \sin(x) ) )/( \cot(x) )

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


(1)/( \cot(x) )

Notice that cotangent and tan are reciprocal so


\tan(x) = \tan(x)

User Tom Dunham
by
8.2k points

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