Question

tan x =1/2 and tan y =1/3, then the value of x + y

Answer 1

Answer:

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Answer 2

Given:

tan x=1/2 and tan y=1/3

To find:

The value of x+y

Solution:

The value of x+y is 45.

We can find the values by following the steps given below-

We know that the value can be obtained by using

tan(x+y)=(tan x+tan y)/(1- tan x.tan y)

The value of tan x=1/2

The value of tan y=1/3

Using the values, we get

tan(x+y)=(1/2+1/3)/(1-1/2×1/3)

tan(x+y)=(5/6)/(1-1/6)

tan(x+y)=(5/6)/(5/6)

tan(x+y)=1

We know that tan 45°=1.

Substituting the value of 1,

tan(x+y)=tan45°

x+y=45

Therefore, the value of x+y is 45.