Basic Trig
Sine Rule
Cosine Rule
Add, Subtract, Multiply Matrixes
Find the missing element
100
Use it when you know the length of the hypotenuse and the adjacent side.
Cosine
100
What is the equation for Sine Rule
100
What is one of the three equations for cosines?
cos(C) = a2 + b2 − c2 2ab.
cos(A) = b2 + c2 − a2 2bc.
cos(B) = c2 + a2 − b2 2ca.
100
[[2,5],[-2,8]]+[[1,4],[5,0]]
[[3,9],[3,8]]
100
[[2,3],[1,x]]+[[4,3],[6,6]]=[[6,6],[7,11]]
x=5
200
Use it when you know want to know the opposite side and you know the measure of the angle and adjacent side.
Tangent
200
What angle should be found first if given sides a and b and angle A?
Angle B
200
What is the cosine of 90o?
0
200
[[8,16,-3],[2,20,10]]-[[5,11,7],[-3,6,6]]
[[3,5,-10],[5,14,4]]
200
[[6,3,x],[5,9,2]]+[[4,1,11],[-4,9,6]]=[[10,4,22],[1,18,8]]
x = 11
300
cos 0 degrees?
1
300
What type of triangle is the Law of Sines used for?
Non-right triangles
300
What Theorem does this equation resemble?
Pythagorean theorem
300
5[[4,5,1],[0,-2,7]]
[[20,25,5],[0,-10,35]]
300
[[8,10,-3],[2,2,1]]-[[7,2,1],[x,6,4]]=[[1,8,-4],[6,-4,-3]]
x = -4
400
Solve:
Cos 40 = x/12
9.2
400
When would you use the law of sines?
When you have AAS or SSA in a triangle
400
When would you use the Law of Cosines?
When a triangle has either SSS or SAS
400
[[6,2],[-1,5]]*[[2],[1]]
[[14],[3]]
400
2[[1,6,5]]+[[4,x,1]]=[[6,15,11]]
x = 3
500
Solve:
Tan x = 3/2
56.3
500
When given b= 2, A= 45o, and B= 30o, What does a equal?
a = 2.8
500
When would you use the cosine inverse?
When you need to find the angle
500
[[3,1],[2,2]]*[[4,1],[2,1]]
[[14,4],[12,4]]
500
5[[-3,1,6],[4,1,1]]+2[[5,11,2],[2,9,x]]-4[[1,0,2],[4,1,1]]=[[-9,27,26],[8,19,17]]
x = 8