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katen-ka-za [31]
3 years ago
8

Complete the identity, sin(a+b)/cosacosb=​

Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

tana + tanb

Step-by-step explanation:

Using the trigonometric identities

• sin(a + b) = sinacosb + cosasinb

• tanx = \frac{sinx}{cosx}, then

\frac{sin(a+b)}{cosacosb}

= \frac{sinacosb+cosasinb}{cosacosb}

= \frac{sinacosb}{cosacosb} + \frac{cosasinb}{cosacosb}

= \frac{sina}{cosa} + \frac{sinb}{cosb}

= tana + tanb

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