Question

tan alfa = 2/5 and tan bita = 3/7, find (alfa +bita).
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Answer 1

Answer:

Step-by-step explanation:

tan(alpha + beta)=(tan alpha+tan beta)/(1-(tan alpha.tan beta))

=(2/5+3/7)/ (1-(2/5*3/7))=(29/35)/(1-(6/35))=(29/35)/(29/35)=1

so tan(alpha + beta)=1

which means alpha + beta=tan^-1(1)

ie.      alpha +beta =pi/4