Question

The point P(x, y) is on the terminal ray of angle mc025-1.jpg. If mc025-2.jpg is between mc025-3.jpg radians and mc025-4.jpg radians and cscmc025-5.jpg = mc025-6.jpg, what are the coordinates of P(x, y)?

Answer 1

Answer:

Co-ordinates of point P (x . y)   = ( -2  , -√21)

Step-by-step explanation:

The point P(x, y) is on the terminal ray of angle θ. If θ is between π radians and 3π/2 radians and cosec θ= -5/2, what are the coordinates of P(x, y)

cosec θ= -5/2

cosec θ = 1/ Sinθ

=> Sin θ  = - 2/5

θ is between π & 3π/2

This means with in 3rd Quadrant ( in 3rd quadrant x & y both would be negative)

Sin θ = Perpendicular / hypotenuse

=> Perpendicular =  2  => y component = -2

Hypotenuse = 5

Base = √5² - (-2)²  = √21 => x component = -√21

Co-ordinates of point P (x . y)   = ( -2  , -√21)