unit 8 precalc apex

evaluate arccsc2

(pi/6+-2pin,5pi/6+-2pin)

evaluate tan(sin^-1(-5/13))

-5/12

evaluate tan(cos^-1(-15/17))

-8/15

evaluate tan^-1(-1).

-pi/4

evaluate sin(Tan^-10)

0

Solve on the interval (0, 2pi): 3 sec x - 2 = 1

0 2pi

For the simple harmonic motion equation d=5sin (2pit), what is the period

1

For the simple harmonic motion equation d=9cos((π/2)t) what is the frequency? If necessary, use the slash (/) to denote a fraction.

1/4

For the simple harmonic motion equation d=5 sin (pi/4 t), what is the frequency

1/8

For the simple harmonic motion equation d=2 sin (pi/3 t), what is the maximum displacement from the equilibrium position

2

Solve on the interval (0, 2pi): 2 sec x + 5 = 1

2pi/3,4pi/3

which value is a solution for the equation cot x/2=-1

3pi/2

Solve on the interval [0,2pi) 4 csc x+1=-3

3π/2

For the simple harmonic motion equation d=4 sin (8pi*t), what is the maximum displacement from the equilibrium position

4

For the simple harmonic motion equation d=9cos((π/2)t) what is the period

4

What is the period, in seconds, of a simple pendulum of length 5 meters? Use the gravitational constant g = 9.8 m/s2 and round your answer to two decimal places.

4.49

For the simple harmonic motion equation d= 5sin((pi/4)t)n , what is the maximum displacement from the equilibrium position

5

For the simple harmonic motion equation d=5sin (pi/4 t), what is the period

8

Find a model for simple harmonic motion if the position at t = 0 is 0, the amplitude is 5 centimeters, and the period is 2 seconds

d = 5sin(πt)

Find a model for simple harmonic motion if the position at t = 0 is 6, the amplitude is 6 centimeters, and the period is 4 seconds

d = 6cos(π/2 * t)

Which equation can be used to model simple harmonic motion

d = acos(wt) d = asin(wt)

Find a model for simple harmonic motion if the position at t = 0 is 0, the amplitude is 5 centimeters, and the period is 4 seconds

d=5sin((pi/2)t)

(true or false) The expression sin^-1

false

(true or false) The notation Arcsin x represents the inverse function to sine.

false

(true or false) the range of y=arccosx is (-pi/2, pi/2)

false

(true or false) there is no solution for the equation cscx=-1

false

How many possible values for y are there where y = tan ^-1 3 A.1 B.2 C.Infinite D.0

infinite

how many possible values for y are there where y=cos^-10

infinite (i hate math so much)

which value is a solution for the equation tanx/2=1

pi/2

Solve on the interval (0, 2pi): 1-cos theta=1/2

pi/3 , 5pi/3

evaluate tan^-11

pi/4

Solve on the interval (0, 2pi) 1+cos theta=sqrt3 +2/2

pi/6, 11pi/6

which equation is represented by the intersection of the graphs below

tanx=-1

which equation is represented by the intersection of the graphs shown below

tanx=1

Which of the following is an example of simple harmonic motion

the motion of a rotating beacon

(true or false) The range of y=Arcsin x is (-pi/2, pi/2)

true

(true or false) The value 3pi/4 is a solution for the equation 3(sqrt 2) cos theta + 2 = -1

true

(true or false) The value 5pi/2 is a solution for the equation 2sin^2x-sinx-1=0

true

(true or false) The value pi/16 is a solution for the equation 2 cos^2(4x)-1=0.

true

(true or false) the value 5pi/4 is a solution for the equation 3sqrt2 csc theta+5=-1

true

(true or false) the value pi/24 is a solution for the equation 4cos^2(4x)-3=0

true

(true or false) there is no solution to the equation secx=0

true

solve cos(x)(cos(x)-1)=0

x=pi/2+-2pin, x=3pi/2+-2pin,x=+-2pin

solve cos(x)(cosx+1)=0

x=pi/2+-2pin, x=3pi/2+-2pin,x=+-2pin

Solve on the interval (0, 2pi) (sinx-1)(2sin^2x-5sinx+2)=0

x=pi/2, pi/6, 5pi/6

Solve on the interval (0, 2pi): 2sin^2x-3sinx +1=0?

x=pi/2,pi/6, 5pi/6

the following graph depicts which inverse trigonometric function

y=arccosx

the following graph depicts which inverse trigonometric function

y=arcsinx