Question

If cotA=4/3, find the value of 1/sinA+1/cosA

Answer 1

Answer:

cotA4/3

cot=b/p

A B=3

BC=4

AC=?

by using pythagora's theorem

H²=B²+P²

H²=4²+3²

H²=16+9

H²=25

H=root over 25

H=+-5

we can't take hypotenuse as negative

now,

1/SINA+1/COSA

1/P/H+1/B/H

1/3/4+1/4/5

1×4/3+1×5/4

4/3+5/4

16+15/12

26/12

13/6

2¹/6