Precalculus Honors Chapter 4 (No Graphs)

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5/4

(-9, 12) is a point on the terminal side of an angle. What is the cosecant of the angle?

-3/5

(-9, 12) is a point on the terminal side of an angle. What is the cosine of the angle?

-3/4

(-9, 12) is a point on the terminal side of an angle. What is the cotangent of the angle?

-5/3

(-9, 12) is a point on the terminal side of an angle. What is the secant of the angle?

4/5

(-9, 12) is a point on the terminal side of an angle. What is the sine of the angle?

-4/3

(-9, 12) is a point on the terminal side of an angle. What is the tangent of the angle?

28.2

A 30-foot ladder is leaning against the side of a house at a 70.1º angle with the ground. How many feet up the house does the ladder reach, to the nearest tenth?

256.6

A clock face is divided into 12 sectors, each with central angle measuring π/6 radians. If the radius of the clock is 14 inches, what is the area of the smaller sector at 5:00?

10º

A retail company is installing a ramp outside its building to make it easier to roll merchandise on carts. If the bottom of the ramp is going to be 22 feet from the base of the door, and the ramp needs to go down 4 feet, what is the measure of the angle the ramp makes with the ground?

8

A sector of a circular patio intercepts an arc that is 21 meters and has a central angle of 301º. Find the diameter of the patio.

41

A?

112

B?

27

C?

131.2

Find the area of the shaded area.

√26

Find the cosecant of angle theta

5/√26

Find the cosine of angle theta

5

Find the cotangent of angle theta.

√26/5

Find the secant of angle theta

1/√26

Find the sine of angle theta

1/5

Find the tangent of angle theta.

π/30

How many radians is 6º?

29π/6

How many radians is 870º?

-√34/5

If (-3, -5) is a point on the terminal side of an angle, what is the cosecant of the angle?

-3/√34

If (-3, -5) is a point on the terminal side of an angle, what is the cosine of the angle?

3/5

If (-3, -5) is a point on the terminal side of an angle, what is the cotangent of the angle?

-√34/3

If (-3, -5) is a point on the terminal side of an angle, what is the secant of the angle?

-5/√34

If (-3, -5) is a point on the terminal side of an angle, what is the sine of the angle?

5/3

If (-3, -5) is a point on the terminal side of an angle, what is the tangent of the angle?

1/√65

If cot A =8 in a right triangle, where A is NOT the right angle, what is sin A?

55º

Measure of angle A?

35º

Measure of angle B?

118

R?

23º

Solve for angle theta.

16.2

Solve for x to the nearest tenth

18.9

Solve for x to the nearest tenth.

44

Suppose the string of a kite makes a 78º angle with the ground. If 45 feet of string is released, how many feet off the ground is the kite?

186

The angle of elevation from the far side of a pool to the top of a waterfall is 54º. The distance from the far side to the top is 230 feet. How tall are the falls?

124.1

The roof on a house has one side that is an isosceles triangle. The sides of this part are 18 feet long and the peak makes a 50 degree angle. What is the area of this part of the roof to the nearest tenth?

24.1

The roof on a house has one side that is an isosceles triangle. The sides of this part are 18 feet long and the peak makes a 50 degree angle. What is the area of this part of the roof to the nearest tenth?

30

The sides of a triangle measure 5, 12, and 13 respectively. What is the area?

-π/6

What is arcsin(-1/2)?

- √34/3

What is csc(arccot -5/3)

-3/4

What is sin(arcsin(-3/4))?

11.9

What is the area of triangle MNP if n=4, P=69, and N=37?

π/2

What is the exact value, in radians, of arcsin(-√3/2) + arccos(-√3/2)?

13.8

What is the intercepted arc length with central angle 132º and radius 6 cm?

π/3

What is the reference angle for -π/3?

π/16

What is the reference angle for 17π/16

83º

What is the reference angle for 97º?

2π/3

arccos(-1/2)

π/4

arccos(√2/2)

-π/6

arcsin(-1/2)

-π/3

arctan(-√3)

0

arctan(0)

undefined

cos(arccos 2))

74.7

r?

46.1

s?

- √3/3

tan (arcsin -1/2)

-1

tan 3π/4 = ?

24/25

tan x =-7/24, and sin x<0. What is cosx?


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