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

A1 + cot α cot β

Btan α tan β + cot β

C1 + tan α tan β

D1 + cot α tan β

Verified Answer :

CarlosFernandezVega

When you see a formula like this, try to operate, so you will see some identities sooner or later. In this case, we have a substraction identity:

\(\frac{cos ( \alpha - \beta )}{cos \alpha cos \beta }\) = \(\frac{cos \alpha cos \beta + sin \alpha sin \beta }{cos \alpha cos \beta }\) = 1 + tan α · tan β

Answer:

When you see a formula like this, try to operate, so you will see some identities sooner or later. In this case, we have a substraction identity:


\frac{cos ( \alpha  -  \beta )}{cos  \alpha cos  \beta }  =  \frac{cos   \alpha cos  \beta + sin \alpha sin  \beta }{cos  \alpha cos  \beta }  = 1 + tan α · tan β

Step-by-step explanation:

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