A point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t. The point P is (-15/17, -8/17).

sin t =

cos t =

tan t =

csc t =  

sec t =  

cot t =  

Step-by-step explanation:

In the unit circle:

x-coordinate of any point on the circle represents cosine the angle between the positive part of x-axis and the segment joining the center of the circle and this point

y-coordinate of any point on the circle represents sine the angle between the positive part of x-axis and the segment joining the center of the circle and this point

In the given figure

∵ t represents the angle between the positive part of x-axis

    and the segment drawn from the center of the circle and

    point P

∴ The coordinates of point P are (cos t , sin t)

∵ The coordinates of P are ( , )

∴ sin t =

∴ cos t =

∵ tan t =

- Substitute the values of sin t and cos t

∴ tan t =

- Multiply up and down by 17 to simplify the fraction

∴ tan t =

∵ csc t =

- Reciprocal the value of sin t

∴ csc t =  

∵ sec t =

- Reciprocal the value of cos t

∴ sec t =  

∵ cot t =

- Reciprocal the value of tan t

∴ cot t =  

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.