If p(x,y) is the point on the unit circle defined by real number theta, then csc theta= _____. a. x/y. b. y/x. c. 1/x. d. 1/y.

Question

asked Feb 4, 2017 106k views

2 Answers

Vasilievski · Answer 1 · 2017-02-10T16:20:19+0000

Answer:

Option d is correct

$Csc \ \theta =(1)/(y)$

Explanation:

Here P(x,y) is the point on unit circle ( unit circle has radius 1 and center (0,0))

Now in a diagram we can see that

OA= x

AP= y

radius OP =1

∠POA =θ

Now in ΔAOP

$Csc\ \theta =(hypotenuse )/(opposite \ side) \\Csc\ \theta =(OP)/(AP)$

$Csc \ \theta =(1)/(y)$ ( since OP =1 and AP =y)