Question

If tan Alpha = 1 / root 3 and sin beta= 1 / root 2, find alpha + beta.

Answer 1

Answer:

THus α+β=45+30=75

Step-by-step explanation:

tan α = 1 / √3 and sinβ= 1 / √2

tan α = 1 / √3 =tan30

α=-30

and sinβ= 1 / √2=sin45

so β=45

THus α+β=45+30=75

Answer 2

Answer:

60°

Step-by-step explanation:

Given,

tan alpha ( α ) = 1 / √3

sin beta ( β ) = 1 / 2

To find : α + β = ?

tan α = 1 / √3

tan 30° = 1 / √3

Therefore,  

α = 30°

sin β = 1 / 2

sin 30° = 1 / 2

Therefore,

β = 30°

α + β = 30° + 30°

α + β = 60°