Question

. If tan theta=3/4
then
(1 + sin 0) (1 - sin o)/
(1 + cos 0) (1 - cos O)
=_______. ​

Answer 1

Answer:

Step-by-step explanation:

tan theta =3/4

Tan theta = perpendicular/ base

Thus, perpendicular =3k and base = 4k ( wher k is some positive integer )

By Pythagoras theorem,

Hypotenuse = 5k

Therefore, sinO = 3/5 and cosO = 4/5

Then,

(1+ sinO)(1- sinO) / (1+ cosO )(1- cosO)

( 1 - sin²O) / ( 1- cos²O)

( 1- {3/5}²) / ( 1-{4/5}²)

( 1- 9/25) / ( 1- 16/25)

( 25-9 / 25) / ( 25 - 16/ 25)

=> 16/ 9