The three trigonometry ratios.
What are sine, cosine, tangent?
True/False: the longest side of a triangle is opposite the smallest angle.
What is false?
True/False: Cofunctions of complementary angles are equal.
What is true?
In ∆ABC, C=90˚, AB=17, BC=15, and AC=8. The cosine of A.
What is 8/17?
The acronym(s) to describe the trig ratios.
What is S(o/h) C(a/h) T(o/a)?
The law of sines.
What is a/sinA=b/sinB=c/sinC?
This is equivalent to cos(θ).
What is sin(90-θ)?
When sin30, cos= this degree.
What is 60?
In ∆ABC, where C=90˚, AB=13, AC=5, and BC=12, the tangent of angle A.
What is 12/5?
The law used to find the side length of a triangle when two sides and the included angle are known.
What is law of cosines?
sin(x+20)=cos(2x+10), the value of x.
What is 20?
(x+20+2x+10=90; 3x+30=90; 3x=60; x=20)
These two things must be done to an non-programmed calculator to find a missing angle using trig
What are set to degree mode and be in 2nd mode when pressing sin, cos, or tan?
In ∆ABC, where C=90, BC=24 and AB=25, the value of side AC.
What is 7?
The law of cosines.
What is c2=a2+b2-2abcosC?
Formula for area of a triangle using trig.
What is A=1/2absinC?
In ∆ABC, A=75˚, BC=2.93. If C=23˚, what is the length of side AB, and what law is used to solve this problem?
What is 1.19 and law of sines?
(x/sin23=2.93/sin75)
In ∆ABC, C=90˚, AC=3, BC=4, and AB=5. In ∆DEF, the value of the sides are 1/2 the value of the sides in ∆ABC. This is equivalent to the cosine of E.
What is 3/4?
Two sides of a triangle that measure 12 and 20 intersect so that an angle of 80˚ forms in between them. The other side of the triangle, rounded to the nearest tenth.
What is 21.4?
122+202-2(12)(20)cos(80)=460.6488
√460.6488=21.4
In ∆ABC, A=120, AB=36, and AC=20. The area of the triangle, to the nearest hundredth.
What is 311.80?
To determine to length of a school bus, a person walks 40 feet from the back of the bus (point A), to the stop sign on the side of the bus. (point B). They then turn 80˚ and walk 30 feet to the front of the bus. This is the length of the bus, to the nearest foot.
What is 46 feet?
[402+302-2(40)(30)cos(80)=2083.244374
√2083.244374=45.64--> 46 feet]