Trig Ratios
Inverse Trig
Sine vs Cosine
Solving Triangles
Trig Trivia
100
What does the "Soh" in SohCahToa stand for?
sine is opposite over hypotenuse
100
Which trig function would be used to find the missing angle?
arccos or cosine inverse
100
If sin(40) = cos(x), what does x equal?
50
100
Which trig function would be used to solve for h?
tangent
100
The word "trigonometry" means the study of what?
Triangles (or trigons!)
200
Tangent uses which two sides?
opposite and adjacent
200
Solve for theta.
41 degrees
200
True or False: sin(45) = cos(45).
True! They add up to 90
200
A 24 foot ladder is leaning against the wall. You lean it at a safe angle of 70 degrees. How far away from the wall should it be?
6 feet (divide by 4)
200
A sextant is a trigonometric tool used for what purpose?
Navigation
300
Which trig ratio is adjacent over hypotenuse?
Cosine
300
Solve for the missing angle.
53 degrees
300
True or False: sin(90) = tan(90)
False. Tangent is not "paired" with sine and cosine.
300
Solve for x.
16.7
300
A "sinus rhythm" is the rhythm that your heart makes as it beats. It's often used in medical fields. What trigonometric function gives us this name?
Sine
400
Which trig ratio is adjacent over opposite?
Trick question: none of the three we know are in that order. Tangent is opposite over adjacent.
400
True or False: Inverse trig functions can be used to find both the angles and side lengths of a triangle.
False! Inverse trig is only used for the angles.
400
If sin(x)=cos(80), what does x equal?
10
400
Solve for x.
36
400
The gif below is used to prove which trigonometric theorem?
The Pythagorean Theorem
500
Is it ever possible for the sine and cosine ratios to be equal to each other?
Yes! If the two shorter sides are equal, so are sine and cosine!
500
What is arcsin(sin(60))?
Remember: arcsin is the inverse sin function!
60 degrees. arcsin and sin are inverses, so they undo each other.
500
What is the "co" short for in "cosine"?
complementary (angles that add up to 90!)
500
What trig function would you use to solve this problem?
None! We don't know it's a right angle, so sin, cos, and tan don't apply.
500
The three trig functions are commonly used in cartography, the creation of what?
Maps