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 (-4/5, 3/5).

sin t =

cos t =

tan t =

csc t =  

sec t =  

cot t =  

Step-by-step explanation:

In the unit circle:

In the attached figure

∵ t represents the angle between + ve part of x-axis

    and the terminal side drawn from the center of the circle to

    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 5 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 =  

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step-by-step explanation: