Question

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.

Answer 1

1/y

Explanation:

apex

Answer 2

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)