Math, asked by sriramamurthy59, 1 year ago

tan(a+b)= what is the formula

Answers

Answered by ayush123600
0

Answer:

tan(A + B) = (sin A cos B + cos A sin B) / (cos A cos B − sin A sin B) (50) tan(A + B) = (tan A + tan B) / (1 − tan A tan B) Now if you replace B with −B, you have the formula for tan(A − B).

Answered by codiepienagoya
0

Formula of tan (a+b) = tan a+ tan b/1-tan a tan b

Step-by-step explanation:

\ Given \ value:\\\\\tan(a+b) = ?\\\\\ find:\\\\\ formula = ?\\\\\ Solution:\\\  As \ we \ know \tan x \ is \ written \ in \ the \ from \ of \ \frac{\sin x}{\cos x}\\\\ \therefore \tan x = \frac{\sin x}{\cos x} \\\\\because \tan (a+b)= \frac{\sin (a+b)}{\cos (a+b)} \\\\\rightarrow \frac{\sin (a+b)}{\cos (a+b)} = \frac{\sin a \cos b+ \cos a \sin b}{\cos a \cos b -\sin a\sin b}\\\\\rightarrow \tan(a+b) = \frac{\tan a+ \tan b}{1-\tan a \tan b}\\

\ The \ above \ formula \ is \ used \ in \ angle \ calculation. \\\\

Learn more:

  • Formula of tan(a+b+c): https://brainly.in/question/1247176
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