Question

If sinα = 1/2 and cosβ = 1/2 then the value of tan(α + β) is

Answer 1

Answer:

tan 90 is not defined

Step-by-step explanation:

alpha=30°. beta=60°

tan(alpha+beta)=tan(60+30)=tan 90

Answer 2

SOLUTION :

$\sin( \alpha ) = \frac{1}{2} \: \: (given) \\ sin\alpha = \sin30 \\ \alpha = 30 \\ \cos \beta = \frac{1}{2} \: \: \: (given) \\ \cos \beta = \cos60 \\ \: \: \beta = 60$

$put \: the \: value \: of \: \alpha = 30 \: ad \: \beta = 60 \: we \: get \\ \tan( \alpha + \beta ) \\ = \tan(30 + 60) \\ = \tan(90) = \infty$