Question

82. If A+B+C = 90° then tan Atan B is​

Answer 1

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