Sec 2.1 - Trigonometric Functions of Acute Angles
Sec 2.2 - Trigonometric Functions of Non-Acute Angles
Sec 2.4 - Solutions and Applications of Right Triangles
Sec 2.5 - Further Applications of Right Triangles
Random
100
Derive the 30-60-90 triangle
Should start with a equilateral triangle with length of 2, but in half and find the height is sqrt3
100
What is the reference angle for 1500^o
ref_(theta)=60
100
What is the sec(18) ?
1.051462224
100
What does it mean to 'solve' a triangle? Whats something you should always check after solving a triangle?
Find all missing angles and sides. You should check that they follow the triangle inequality rule.
100
What year did Mariokart make its first debut in the United States?
1992.
200
Given a right triangle, find sec(B) if b=2 and c=5
sqrt21/5
200
Find all angles with a reference angle of 56 between [0,2pi)
theta=56,124,236,304
200
Cana right triangle be solved if we are given measures of its 2 acute angles and no side lengths?
No. While we can determine the ratio of the sides, that only gives us all possible scalar versions. We cannot determine which of them is the correct one.
200
Solve for x:
x=10.95
200
What do butterflies 'taste' with?
Their feet.
300
If cos(theta+20), what is the angle for sin(x) for them to be equal?
sin(90-(theta+20)->sin(70-theta)
300
Find all values of theta in the interval of [0,2pi) that has the given function value:
sec(theta)=-(2sqrt3)/3
theta=240 and 300
300
To determine the diameter of the sun, an astronomer measures the transit (the angle between one side of the sun to the other, estimating the angle to be 0.53^o . Given the distance from the sun is 92,919,800 miles find the diameter of the sun.
~860,000 mi
300
Solve the triangle:
A=31.89 , a=2.8
B=58.11 , b=4.5
C=90 , c=5.3
300
In throwing 2 dice, what are the odds of rolling a sum of 7?
6/36 or 1/6
400
Find the area of the triangle in terms of s 
Area_(triangle)=1/2(s)(ssqrt3)=(s^2sqrt3)/2
400
Find all values between [0,2pi) that make
sin(theta)=cos(theta)
theta=45 and 225
400
An airplane is flying 10,500 ft above level ground. The angle of depression from the plane to the base of a tree is 13.83^o . How far horizontally must the plane fly to be directly over the tree? Drawing required.
tan(13.83)=(10,500)/x, x=(10,500)/tan(13.83)
xapprox42652 ft
400
Find the angle measures of A and B:
A=35.99, B=54.01
400
Draw me in 30 years.
No gravestones
500
Find the exact values of the missing variables:
a=(14sqrt3)/3 , m=(7sqrt3)/3, n=(14sqrt3)/3, q=(14sqrt6)/3
500
Without using a caluclator, determine which of the following numbers is closest to cos(115^o)
-0.6, -0.4, 0, 0.4, 0.6
theta is closest to -0.4
500
Approximate the height of Mt. Everest, in ft, given an angle of elevation of 5.82^o .
xapprox29008
500
Find x. Round angles to the nearest whole number:
x=82.95
500
From my 6 year old:
What do you call a bear with no teeth?
A gummy bear