Right Triangle Trig
Law of Sines/law of Cosines
Cofunctions/Area of non-right triangle
Review!
100

The three trigonometry ratios.

What are sine, cosine, tangent?

100

True/False: the longest side of a triangle is opposite the smallest angle.

What is false?

100

True/False: Cofunctions of complementary angles are equal.

What is true?

100

In ∆ABC, C=90˚, AB=17, BC=15, and AC=8. The cosine of A.

What is 8/17?

200

The acronym(s) to describe the trig ratios.

What is S(o/h) C(a/h) T(o/a)?

200

The law of sines.

What is a/sinA=b/sinB=c/sinC?

200

This is equivalent to cos(θ).

What is sin(90-θ)?

200

When sin30, cos= this degree.

What is 60?

300

In ∆ABC, where C=90˚, AB=13, AC=5, and BC=12, the tangent of angle A.

What is 12/5?

300

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?

300

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)

300

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?

400

In ∆ABC, where C=90, BC=24 and AB=25, the value of side AC.

What is 7?

400

The law of cosines.

What is c2=a2+b2-2abcosC?

400

Formula for area of a triangle using trig.

What is A=1/2absinC?

400

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)

500

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?

500

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

500

In ∆ABC, A=120, AB=36, and AC=20. The area of the triangle, to the nearest hundredth.

What is 311.80?

500

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]

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