Right Angle Trigonometry
Fundamental Trig Identities
Area of Triangles (unit=ft)
Chapter 1 questions
Miscellaneous
100
What is the sin of this triangle?
What is
5/13
100
What is csc x equal to if
sinx=sqrt3/2
What is
(2sqrt3)/3
100
What are the three formulas that you have learned to find the area of a triangle?
1.)
(1/2)bh
2.)
(1/2)ab*sinC
(1/2)ac*sinB
(1/2)bc*sinA
3.)
sqrt(s(s-a)(s-b)(s-c)
100
What is the period of the sine and cosine function?
What is
2pi
100
Convert this degree measure to radians
540 degrees
What is
3pi
200
What is the cos of this triangle?
What is
4/5
200
Where on the unit circle is x true given
cosx=-sqrt3/2
What is 150 degrees and 210 degrees
or
(5pi)/6
and
(7pi)/6
200
What is the best formula to use for this triangle
What is Heron's area formula
200
What are the side lengths of a 30-60-90 triangle?
What are the legs = x and
xsqrt3
and hypotenuse = 2x
200
Find the reference angle of
theta=-135
degrees
What is 45 degrees
300
What is the cos of the triangle given
sinx = 3/4
What is
sqrt7/4
300
Where on the unit circle is x true given
tanx=sqrt3/3
What is 30 degrees and 210 degrees
or
pi/6
and
(7pi)/6
300
Find the area of the triangle
What is 8 ft2
300
What are the three Pythagorean identities?
1.)
sin^2x+cos^2x=1
2.)
1+tan^2x=sec^2x
3.)
1+cot^2x=csc^2x
300
What is this the graph of?
What is the sine function
400
Given
sin 60 = sqrt3/2 and cos 60 = 1/2
What is tan 60?
What is
sqrt3
400
Simplify the expression
cotxsecx
What is
cscx
400
Find the area of this triangle
What is 3.06 ft2
400
Solve for x
What is
(32sqrt3)/3
400
Find the exact value
tan(arccos(2/3))
What is
sqrt5/2
500
You are standing 45 meters from the base of the Empire State Building. You estimate the angle of elevation to the top of the 86th floor (observatory) is 82 degrees. How tall is the building up to the 86th floor? (round to 2 decimals)
Bonus: How tall is the entire Empire State Building?
What is 320.19 m
Bonus: What is 443.19 m
500
Simplify the expression
(1-sin^2x)/(csc^2x-1)
What is
sin^2x
500
Find the area of this triangle
What is 6.5 ft2
500
Verify the identity
sin^2x-cos^2x=2sin^2x-1
What is
2sin^2x-1
500
Verify the identity
cscx-sinx=cosxcotx
What is
(cos^2x)/(sinx)