Math, asked by mamunchouox9ag8, 1 year ago

prove that tan(x+y)=tanx+tany/1-tanxtany

Answers

Answered by Anonymous
52
Hello!!!

Hey my dear friend here is your answer_____________

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

We already know (see trigonometry identities) that

cos (x+y) = cos x cos y - sin x sin y

and

sin (x+y) = sin x cos y + cos x sin y

So,

tan (x + y) = (sin x+y) / (cos x+y)

= (sin x cos y + cos x sin y) / (cos x cos y - sin x sin y)

Dividing both numerator and denominator by (cos x)(cos y), we get:

= ( sin x / cos x + sin y / cos y) / (1 - sin x sin y/(cos x cos y))

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


Hence, the prof.

__________________________

Refer attached pic...

__________________________

Hope this answer will help u dear....

@Neha...


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ABHAYSTAR: Greatt
ABHAYSTAR: Nice hand-writting too.
Anonymous: Thanks a lot... ^_^
ABHAYSTAR: ^_^
Answered by prathampreetham918
3

Answer:

here's your answer

Step-by-step explanation:

pls mark me as brainliest

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