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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