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ELEN [110]
3 years ago
9

Complete the identity. cos (alpha - beta)/cos alpha cos beta = ?

Mathematics
2 answers:
Zepler [3.9K]3 years ago
5 0
\frac{cos(a-b)}{cos(a)cos(b)} =  \frac{cos(a)cos(b)+sin(a)sin(b)}{cos(a)cos(b)} = 1+ \frac{sin(a)sin(b)}{cos(a)cos(b)} =1+tan(a)tan(b)

Note that I used these identities :cos(a-b)=cos(a)cos(b)+sin(a)sin(b) and  tan(a)= \frac{sin(a)}{cos(a)}
MrRa [10]3 years ago
3 0
I belive the answer to be b
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