Question

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

Answer 1

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