Precalc Honors Semester 1 Review (all)

{0,1,2,3,4,6,8,10}

If B={0,1,2,3}, C={0,1,2,3,4,5,6}, D={1,3,5,7,9} and E={0,2,4,6,8,10}, what is EUB?

∅

If B={0,1,2,3}, C={0,1,2,3,4,5,6}, D={1,3,5,7,9} and E={0,2,4,6,8,10}, what is D∩F?

-1+i

Simplify (1+4i) + (-2-3i)

3-i

Simplify (2+4i)-(-1+5i)

-51-17i

Simplify (6+7i)(-5+3i)

-7/10 + 9i/10

Simplify (2+3i)/(1-3i)

-3/5+4i/5

Simplify (1+2i)/(1-2i)

-8, 9

Solve x²-x-72=0

3±√5

Solve x²-6x+4=0

(5±i√7)/4

Solve 2x²-5x+4=0

4t⁴u⁴√u

Simplify √16t⁸u⁹

Infinitely many solutions

Solve

(4, -18)

Solve

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? 1

118

R?

74.7

r?

46.1

s?

41

A?

112

B?

27

C?

30

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

11.9

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

1/5

Find the tangent of angle theta.

5

Find the cotangent of angle theta.

√26/26

Find the sine of angle theta

√26

Find the cosecant of angle theta

5√26/26

Find the cosine of angle theta

√26/5

Find the secant of angle theta

35º

Measure of angle B?

55º

Measure of angle A?

18.9

Solve for x to the nearest tenth.

√65/65

If cot A =8 in a right triangle, what is sin A?

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?

π/30

How many radians is 6º?

29π/6

How many radians is 870º?

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?

4/5

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

-3/5

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

-4/3

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

5/4

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

-5/3

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

-3/4

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

π/3

What is the reference angle for -π/3?

83º

What is the reference angle for 97º?

π/16

What is the reference angle for 17π/16

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?

2

What is the amplitude of the graph of y=-2cos(x/4-π/3)+2

8π

What is the period of the graph of y=-2cos(x/4-π/3)+2

4π/3

What is the phase shift of the graph of y=-2cos(x/4-π/3)+2

-π/6

What is arcsin(-1/2)?

undefined

cos(arccos 2))

- √3/3

tan (arcsin -1/2)

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?

-1

tan 3π/4 = ?

π/2

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

16.2

Solve for x to the nearest tenth

23º

Solve for angle theta.

-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?

-√34/5

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

y=tan(4x-4π)+1

What is the equation of a tangent function with period π/4, phase shift π, and vertical shift 1?

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.

24/25

tan x =-7/24, and sin x

-14

f(x)=4x³+6x²+3x, find f(-2)

{x| x≠ 0, 6}

What is the domain of f(x)=(3+x)/(x²-6x)

40

Find g(-5)

45

Find g(36)

(-∞, -2/3]

What is the domain of h(x)=√(-3x-2)

(-∞, 3]

What is the range

Does not exist

Where does the function f(x)=-4+4√(x-1) have y-intercept(s)?

x²+8x+1

If h(x)=x²-8x+1, what is h(x+8)?

{t| t ≠ 3}

What is the domain of the function?

{x|x≠2}

What is the domain of (3+x)/(x-2)

176830

What is h(3) if h(x)=9x⁹-4x⁴+3x-2

y=19x-19

What is the equation of the secant line for the function f(x)=x³-2x+1 between x=1 and x=4

x→∞, f(x)→-∞

x→-∞, f(x)→-∞

What is the end behavior of the function f(x)=-x⁴-2x

x→∞, g(x)→5

x→-∞,g(x)→5

What is the end behavior of the function g(x)=5x/(x-2)?

(-1.3, .17)∪(1.13, ∞)

Where is the function f(x)=x⁴-3x²+x-5 increasing?

(-1, 1/3)

Where is the function g(x)=x³+x²-x decreasing?

0.5|x+4|

Transform the function |x| by doing a vertical compression by a factor of ½ and a shift left 4.

|0.5x|+4

Transform the function |x| by doing a horizontal stretch by a factor of 2 and a shift up 4

{x|x≠-5, -1}

What is the domain of f(x)=(x+5)\(x²+6x+1)

(-2, ∞)

What is the domain of g(x)=1/√(x+2)

1/√26

Find the sine of angle theta

5/√26

Find the cosine of angle theta

1/√65

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

0

arctan(0)

2π/3

arccos(-1/2)

-π/3

arctan(-√3)

π/4

arccos(√2/2)

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?

1/2

Evaluate sin(30⁰)

-√3/2

Evaluate cos(5π/6)

1

Evaluate tan(5π/4)