Math, asked by cherrykcherryk8, 11 hours ago

If A+B+C"80" then tan A+tanB +tan​

Answers

Answered by minatibose51
0

Answer:

'tan A + tan B ' This term is used in a mathematics chapter called trignomety . In this triangle , A is the angle between b and c. And tan A is given as perpendicular devided by base . So, tan A = a/b , sin A = a/c , cos A = b/c .

Step-by-step explanation:

According to the figure,

In △ABC,  ∠C=90  

.

By Pythagoras theorem,  

We can say that,

c  

2

=a  

2

+b  

2

 

Also,

tanA=  

b

a

 and tanB=  

a

b

 

We have,

tanA+tanB=  

b

a

+  

a

b

=  

ab

a  

2

+b  

2

 

=  

ab

c  

2

 

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