Unit 1
Convert 115 degrees to radians
What is 23pi/36
This is the value of sin-1(-1/2)
What is -pi/6
This is the function obtained by simplifying the following: csc(x)cos2(x)sec(x)
What is cot(x)
These are the conditions where you would use law of sines.
What are ASA, SAA, and SSA
Given (x+2)2/16 + (y-3)2/9=1. This is the type of conic, the center, and foci.
What is ellipse, (-2,3), and (-2-sqrt7, 3), (-2+sqrt7, 3)
These are the terminal points of 5pi/3
What are (1/2, - sqrt3/2)
Given y=3sin(2x - pi/4), these are the amplitude, period, and phase shift (including direction).
What are amplitude of 3, period of pi, and phase shift of pi/8 right
When verifying the following information:
cos(-x)sec(-x) + tan(-x)csc(-x) = sec(x) + 1
This is the side you would begin with and this would be the best first step.
What is the left side and convert everything to sine and cosine.
These are the conditions where you would use law of cosines
What are SSS and SAS
Given (x-4)2/9 - (y+3)2/7 = 1, This is the type of conic, center, and foci.
What is hyperbola, (4, -3) and (8, -3), (0, -3)
A water slide rider begins their descent 24 ft above the ground. The water slide makes a 60 degree angle with the ground. This is the length of the water slide to the nearest foot.
What is 28 feet.
This is the range of sine
What is [-1,1]
These are the solutions of the following equation on the interval [0, 2pi)
2 csc (x) = 4
What are {pi/6 and 5pi/6}
Given the following measurements of a triangle: angle A = 32 degrees, angle B = 78 degrees, and side c = 57, this is the length of side b (rounded to the nearest integer).
What is 59?
Given (y-5)2 = 8(x+2), this is the focal diameter and the equation of the directrix.
What is 8 and x= -4
This is the exact value of the csc(-11pi/6)
What is 2
This is the period of tangent
What is pi
These are the solutions of the following equation on the interval [0, 2pi)
tan(2x) = sqrt(3)
What are pi/6, 2pi/3, 7pi/6, 5pi/3
Given the following measurements of a triangle:
side a = 10, side b = 8.7, side c = 12.3 This is the measure of angle C (rounded to the nearest tenth)
What is 81.9 degrees?
This is the conic section that uses the equation c2=a2 - b2
What is hyperbola
These are the three pythagorean identities
What are cos2x + sin2x = 1, tan2x + 1 = sec2x, and 1 + cot2x = csc2x
Taking a sine function and applying a phase shift of pi/2 results in this graph.
What is cosine
This is the solution of the following equation on the interval [0, 2pi)
2cos2x - 1 = 0
What are pi/4, 3pi/4, 5pi/4, 7pi/4
A cell phone tower is supported by two guy wires (165 ft. and 180 ft.) on opposite sides. Each wire is attached to the top of the tower and anchored to the ground. The shorter wire makes an angle of 67 ° with the ground. This is the distance between the anchor points (rounded to the nearest foot).
What is 161 feet?
This is the equation of the hyperbola in standard form represented by -4x2 -40x +5y2 -80y +200 = 0
What is (y-8)2/4 - (x+5)2/5 = 1