Right Triangle Trig (7.2)
Sum and Difference Formulas (8.4)
Law of Cosines (9.3)
Area of A Triangle (9.4)
Personal Math Growth
100
Adjacent over Hypotenuse
What is cosine?
100
cosA*cosB - sinA*sinB
What is cos(A + B) equal to?
100
a^2=b^2 + c^2 - 2bc(cosA) b^2=a^2 + c^2 - 2ac(cosB) c^2=a^2 + b^2 - 2ab(cosC)
What is the law of cosines?
100
Square root of [s(s-a)(s-b)(s-c)]
What is Heron's formula?
100
The section I found easiest.
What is chapter 9.2, Law of Sines?
200
Sin over Cos
What is Tangent?
200
cosA*cosB + sinA*sinB
What is cos(A - B) equal to?
200
√7, when b=2, c=3, and A=60°
What is side a? a^2=2^2 + 3^2 - 2*2*3*cos60° =4 + 9 - (12*0.5) =13-6 a^2=7 a=√7
200
K=1/2ab(sinC)
What is the formula for area of a SAS triangle?
200
The section I found the most difficult.
What is section 7.7, Graphs of Tangent and Inverse Functions?
300
$DOUBLE JEOPARDY$ 1 over Sin
What is Cosecant?
300
1/4(√2 + √6)
What is the exact value of sin(7∏/12)? sin(7∏/12)=sin(3∏/12 + 4∏/12)=sin(∏/4 + ∏/3) =sin(∏/4)*cos(∏/3) + cos(∏/4)*sin(∏/3) =√2/2*1/2 + √2/2*√3/2 =1/4(√2 + √6)
300
36.3° when a=4, b=3, c=6
What is m∠A? cosA=(b^2+c^2-a^2)/2bc cosA=(9+36-16)/2*3*6 cosA=29/36 A=cos-1(29/36) A=36.3
300
1/2(a+b+c)
What is the "s" in Heron's formula equal to?
300
The quiz I aced.
What is the unit circle quiz?
400
1/2, when sinθ=√5/5 and cosθ=2√5/5
What is tanθ? This is found by taking √5/5/2√5/5 This is equal to 1/2 because √5/5 is half as much as 2√5/5
400
√3/2
What is the exact value of sin80°*cos20° - cos80°*sin20°? =sin(80-20) =sin60° =√3/2
400
A=125.10°, B=30.75°, C=24.15°, when a=8, b=5, c=4
What is the solved triangle? 64=41-40(cosA) 25=80-64(cosB) 23=-40(cosA) -59=-64(cosB) -0.0575=cosA 0.859375=cosB cos-1(-0.0575)= 125.10 cos-1(0.859375)=30.75 180-125.10-30.75=24.15
400
3.86 square meters, when a=3 m, b=4 m, C=40°
K=1/2(3)(4)(sin40°) K=1/2(12)(sin40°) K=6(sin40°) K=3.86
400
To do better on tests.
What is a goal for next semester?
500
$FINAL JEOPARDY$ tanθ + sinβ = 2
What is the tan(45°) + sin(90°) tan(45°)=1 sin(90°)=1 1+1=2