Name the Trig Function
Trig Ratios
Trig Vocabulary
Application Problems
100
The trig function that is defined as opposite over hypotenuse.
sine
100
What is the tangent ratio given that theta is angle A?
24/7
100
The side opposite the right angle of a right triangle.
hypotenuse
100
The sun is 62 degrees above the horizon. A tree casts a shadow that is 12 feet long. How tall is the tree?
26.2
200
This trig function is defined as opposite over adjacent.
tangent
200
Solve for the measure of angle B.
angle B = 56.25 degrees
200
What is the only type of triangle you can use trig ratios with?
right triangle
300
What is COSINE?
This trig function is defined as adjacent over hypotenuse.
300
What is the value of x?
x=43.8
300
The mnemonic used to remember the relationships between sine, cosine, and tangent.
SOHCAHTOA
300
What angle does the rocket have to be launched at to reach the rocket base 300 km above Earth?
θ = 73 degrees
400
We use this trig function in solving for an angle when we do not have the hypotenuse but we have the other two sides.
tan-1 or arctangent
400
What trig ratio do you need to use to solve for BC? What is the length of BC?
Cosine
BC = 1.71
400
The formula needed when a side length is missing from a right triangle and you have 2 other side lengths
Pythagoras' Theorem
500
What are trig ratios used to solve for? What do you think inverse trig ratios are used to solve for?
Trig ratios are used to solve for a side in right triangles and inverse trig ratios are used to solve for an angle in right triangles.
500
Find the missing angle measure, denoted with the question mark.
53 degrees
500
The mathematical operation used to find the measure of an angle in a right triangle when you know a trigonometric ratio value.
inverse trigonometric ratio
500
The sun shines on a flagpole, causing a shadow to be cast on the ground. The distance from the base of the pole to the tip of the shadow is 49 feet. At that time of day, the sun’s rays make an angle of 38 degrees with the ground. How tall is the flagpole?
38.3 ft