In a 45-45-90 with legs length 6 in, the length of the hypotenuse.
What is 6√2?
100
9π/5 radians in degrees.
What is 324⁰?
100
The exact value of sin(π/3). NO CALCULATOR
What is √3/2?
100
The three Pythagorean identities.
What are
sin2x + cos2x = 1
tan2x + 1 = sec2x
1 + cot2x = csc2x?
200
sin θ in a triangle with bottom leg of 4 and side leg of 7.
What is 7/√65?
200
The full solution for the triangle (picture) when C = 35⁰ and a = 12.
What is A = 55⁰, b = 14.6, and c = 8.4?
200
220⁰ in radians.
What is 11π/9 radians?
200
The exact value of sin(-13π). NO CALCULATOR
What is 0?
200
The simplification of (tan x)/(cot x).
What is tan2x? (Squared)
300
Tan 30⁰ (no calculator!)
What is √3/3?
300
The solution for the triangle (picture) if a = 3 and c = 3.
What is A = 45⁰, B = 45⁰, and b = 3√2?
300
An angle between 0 and 2π that is coterminal with -23π/3 radians.
What is π/3?
300
tan x if the terminal side of an angle of x radians in standard position passes through the point (-2, 3).
What is -3/2?
300
cos x if π/2 < x < π and sin x = 5/13
What is -12/13?
400
(Picture) The length of side h in the triangle, given that angle A measures 40⁰ and the distance from C to A is 25.
What is h = 20.98?
400
The height of a tower such that a point on level ground 145 ft from the base of the tower has an angle of elevation to the top of the tower of 57.3⁰.
What is 225.9 ft?
400
4π radians per minute in revolutions per minute.
What is 2 revolutions per minute?
400
The quadrant(s) in which cos X is negative when the terminal side of an angle in radians is in standard position.
What are Quadrants II and III?
400
Equivalent to sin(-x) because sin is odd.
What is -sin x?
500
A 30-60-90 triangle with hypotenuse length 20 has a longer leg of this length.
What is 10√3?
500
The distance (in miles) from an airport to a point on the ground directly below the plane if the plane is at an altitude of 22,000 ft and the angle of depression to the airport is 26⁰.
What is 8.5 miles?
500
The number of radians a second hand of a clock moves in 2 minutes and 40 seconds.
What is 16π/3?
500
cos (3π/4) sin (5π/6) - sin (3π/4) cos (5π/6) expressed as a real number with no decimal approximations.