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-Dominant- [34]
3 years ago
10

How do you verify this trig identity?

Mathematics
2 answers:
fiasKO [112]3 years ago
7 0

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)

myrzilka [38]3 years ago
3 0

Step-by-step explanation:

\frac{ \sin(x) \csc(x)  }{ \cot(x) }

Rewrite csc(x) in terms of sin

\frac{ \sin(x) \frac{1}{ \sin(x) }  }{ \cot(x) }

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

\frac{1}{ \cot(x) }

Notice that cotangent and tan are reciprocal so

\tan(x)  =  \tan(x)

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