Definitions
Sides
Angles
Misc.
100

This trigonometry ratio relates hypotenuse and adjacent

What is cosine?

100

What types of triangles that trig functions work with.  

Right angled triangles

100

This is the key we need to hit first on the calculator to convert ratios into angle measurements

What is the 2ND key/Shift key

(then sin, cos, or tan)

100

Find side length c

c = 8.40

200

This trigonometry ratio relates hypotenuse and opposite

What is sine?

200

Calculate the value of sin 26o 

sin 26o = 0.438

200

What is the angle measurement for sin < = 23.8/29 

sin^-1(23.8/29)=55o 

200


35.10o

300

This trig ratio relates opposite and adjacent

What is tangent

300

Using trigonometry, find the value for x:

Cos 37 = adj / hyp

Cos 37 = x / 11

11 Cos 37 = x

x = 8.789

300

In this right triangle 

CAB, ∠A=90°.  Determine ∠B  to the nearest whole degree when  CB=12.8 and AB=3.9. 



Cos^-1 (3.9/12.8) = 72^o 

300

How long is y?

y = 8.67

400

The longest side of a triangle

What is the hypotenuse

400

Using trigonometry, find the value for x:

Tan 54 = opp / adj

Tan 54 = x / 5

5 times 1.376 = x

x = 6.880m

400

What angle does the rocket have to be launched at to reach the rocket base 300 km above Earth?

tan θ=300/90

θ=tan^-1(300/90)

θ=73^o


400

How long is the opposite side of a right-angled triangle if the reference angle is 50 degrees and the hypotenuse is 14cm?

10.72cm

500

The function used to solve for the missing angle

Inverse trig functions (inverse sine, inverse cosine, inverse tangent) 

500

Using trigonometry, calculate the value for x:

Sin 28 = opp / hyp

Sin 28 = x / 50

50 times .469 = x

x = 23.450m

500

In right triangle ADC, ∠D=90° and AD=5.6, AC=8.4. What is the measure of angle ∠ACD, rounded to one decimal place? 

sin^-1(5.6/8.4) = 41.8 degrees

500

Which line is the working out error on?

cos(theta)=A/H

cos(45)=x/4.24

x=4.24/cos(45)

x=3

Line 3

Should be 

x=4.24*cos(45)