Use the given point on the terminal side of angle θ to find the value of the trigonometric function indicated.

For the point ,

For the point ,

For the point ,

For the point ,

For the point ,

For the point ,

For ratios and , we need to calculate the hypotenuse of the right-angled triangle. For the ratio , we can directly make use of the coordinate points.

For the point

For the point

For the point

For the point

For the point

For the point

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 19)  117°                    20) 53°

               21)  229°                   22) 119°

               23) 155°                    24) 323°

Step-by-step explanation:

Use Pythagorean Theorem to find r:     x² + y² = r²

19) x = ,  y = 8,    r = 9

20) x = 3,   y = 4,   r = 5

21) x = ,   y = -3,   r = 4

22) x = ,   y = 7,   r = 8

23) x = -13,   y = 6,   r =

24) x = 4,    y = -3,   r = 5

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.