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Zepler [3.9K]
3 years ago
11

What is the least common denominator of 8/9 + 4/7?

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0
You have to find lcd so, 7x9=63 9x7=63, so the answer is 12/63, after you simplify it is 4/21
SVEN [57.7K]3 years ago
7 0
Do you mean LCM (Least common multiple)
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\frac{sec \theta}{ csc \theta- cot \theta }-\frac{sec \theta}{csc \theta +cot \theta}= 2csc


\ sec(x)= \frac{1}{cos(x)} \\ csc(x)= \frac{1}{sin(x)} \\ cot(x)=\frac{sin(x)}{sin(x)} \\ sin^2(x)+cos^2(x)=1


\frac{sec \theta( csc \theta+cot \theta)}{ (csc \theta- cot \theta)( csc \theta+ cot \theta) }-\frac{sec \theta( csc \theta- cot \theta)}{( csc \theta- cot \theta)(csc \theta +cot \theta)} \\ =\frac{sec \theta csc \theta+sec \theta cot \theta-sec \theta csc \theta+sec \theta cot \theta}{ csc^2 \theta- cot^2 \theta }
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\frac{sec \theta}{ csc \theta- cot \theta }-\frac{sec \theta}{csc \theta +cot \theta}= 2csc

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