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Grade: 11

                        

Tan(a+b)-X and tan(a-b)=y find the value of tan2a and tan2b

2 years ago

Answers : (1)

Arun
24742 Points
							

tan2A = tan [ (A+B) + (A-B) ]

Now, the formula.. tan (x+y) = tan x + tan y / 1-tan x.tan y

So,

tan2A = [ tan (A+B) + tan (A-B) ] / 1 - tan (A+B). tan (A-B)

Substitue.. tan (A+B) = x and tan (A-B) = y

So,

= x + y / 1-xy

Same is the way for tan2B

tan2B = tan [ (A+B) - (A-B) ]

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

So,

tan2B = [ tan (A+B) - tan (A-B) ] / 1+tan (A+B).tan (A-B)

= x - y / 1+ xy

2 years ago
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