math test 7

Question 1


  1. Convert the angle to radians. Leave as a multiple of π .

    -45°

2 points

Question 2


  1. Convert the radian measure to degrees.

2 points

Question 3


  1. Decide whether the given sequence is finite or infinite.

    -7, -6, -5, -4

2 points

Question 4


  1. Decide whether the statement is possible or impossible.

    tan θ = 9.48

2 points

Question 5


  1. Determine the point on the unit circle to which the given real number corresponds.

2 points

Question 6


  1. Determine the value of the trigonometric function of s using the given information.

    sin s = – , cos s = Find cot s.

2 points

Question 7


  1. Estimate the indicated component or components of the vector. Round to an appropriate number of significant digits.

    = 593, θ = 20.7°
    Find the vertical component of v.

2 points

Question 8


  1. Evaluate the sum.

2 points

Question 9


  1. Find a ∙ b.

    a = , b =

2 points

Question 10


  1. Find all cube roots of the complex number. Leave answers in trigonometric form.

    64 cis 120°

2 points

Question 11


  1. Find all values of θ , if θ is in the interval [0, 360° ) and has the given function value.

    sin θ =

2 points

Question 12


  1. Find an equation for the parabola with vertex at the origin.

    Through (6, 5), opening to the right

2 points

Question 13


  1. Find an equation of a parabola that satisfies the given conditions.

    Vertex (3, -4), focus (3, -2)

2 points

Question 14


  1. Find the amplitude or period as requested.

    Find the amplitude of y = 5 sin .

2 points

Question 15


  1. Find the angle between the given vectors to the nearest tenth of a degree.

    a = and b =

2 points

Question 16


  1. Find the angle of least positive measure that is coterminal with the given angle.

    391°

2 points

Question 17


  1. Find the area of the triangle using one of the area formulas.

    A = 35.67°
    b = 16.2 m
    c = 10.0 m

2 points

Question 18


  1. Find the center and radius of the circle.

    x 2 + y 2 + 10x – 6y = -18

2 points

Question 19


  1. Find the exact value by using a sum or difference identity.

    sin 285°

2 points

Question 20


  1. Find the exact value of the indicated part in the figure.

    Find b.

2 points

Question 21


  1. Find the exact value, given that with A in with B in and with C in

    sin 2A

2 points

Question 22


  1. Find the following quotient, and write the quotient in rectangular form, using exact values.

2 points

Question 23


  1. Find the given power. Write answer in rectangular form.

    (1 – i) 10

2 points

Question 24


  1. Find the indicated trigonometric function of θ.

    Find tan A.

2 points

Question 25


  1. Find the phase shift of the function.

    y = cos

2 points

Question 26


  1. Find the sum of the geometric series.