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 =  

phosphate, calcium ion, chloride ion, neon atom

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40