Question

Which of the the coordinates is equal to sin (4pi/5) ?

A) x-coordinate of point A

B) y-coordinate of point A

C) x-coordinate of point B

D) y-coordinate of point B

E) x-coordinate of point C

F) y-coordinate of point C

Answer 1

Answer:

Step-by-step explanation:

π/2 < 4π/5 < π

4π/5 is in Quadrant II

sin(4π/5) = y-coordinate of A

Answer 2

The coordinates is equal to sin(4π/5) = y-coordinate of A.

We need to find the coordinates is equal to sin (4pi/5).

Which trigonometric functions are positive in which quadrant?

In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.

In second quadrant(π/2 < θ < π), only sin and cosec are positive.

In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.

In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.

Then, we have π/2 < 4π/5 < π

So, 4π/5 is in Quadrant II

Hence,  the coordinates is equal to sin(4π/5) = y-coordinate of A.

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