Question

If tan alpha = 1/2 and tan beta = 1/3 , then alpha + beta =
a) π/6
b) π/3
c) π/4
d) π/2
I want the full solution
Not only the option
Please
I will mark the best , correct and fast answer as brainliest.

Answer 1

Answer:

π/4

Step-by-step explanation:

Given,

tan α = 1/2

tan β = 1/3

To Find,

α + β

Concept:

tan (α + β) = (tan α + tan β)/(1 - tanα tanβ)

= $\frac{\frac{1}{2}+\frac{1}{3}}{1-\frac{1}{2}.\frac{1}{3} }$

= 1

⇒ tan (α + β) = 1

⇒ α + β = $tan^{-1}1$

⇒ α + β = π/4

Hence, the answer is π/4.

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