Question

if A is acute angle and tan =5/12 find the value of cosec A

Answer 1

Let height=p

hypotenuse=h

base=b

tanA=5/12

tanA=p/b

p/b=5/12

=5x/12x

so: p=5x, b=12x

By Pythagoras theorem:

h²=(5x)²+(12x)²

=h²=25x²+144x²

=169x²

h=13x

cosecA=h/p

=13x/5x

=13/5

Answer:- 13/5

Hope it helps:-)