Right triangle
All right triangles contain this angle.
90° angle
The pythagorean theorem works for this type of triangle.
Right triangles.
What are the basic trigonometric functions?
Sine, Cosine, and Tangent
1+1=
You know the answer.
True/False: The trigonometric functions use the right triangle.
True
The variables b, c in the pythagorean theorem represent this.
Legs of the right triangle.
What is the phrase to remember the trigonometric functions?
Soh Cah Toa
You know the answer of
1+1
This is the sum of all angles in a right triangle excluding the right angle.
90°
This is the pythagorean theorem:
a2 + b2 = c2
Inverse trigonometric functions are written like this.
e.g. sin-1
Elon Musk is 5 metres from a 10 metre tall pole. The angle at Elon is 45 degrees. What is the angle at the top of the pole?
45 degrees.
Theta represents this.
The side chosen for the trigonometric calculations.
True/False: Side b of a right triangle is determined by the formula b = √c2 + a2.
False: b = √c2 - a2
The hypotenuse in a unit circle is this many units long.
1
A restaurant needed to build a wheelchair ramp for its customers. The angle of elevation for a ramp is 5∘. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up?
Roughly 22.2 feet. We have the opposite and we want to find the adjacent, so it points to using the tangent function. However, as tan is opposite/adjacent and we want to find adjacent, cotangent is better, as we can multiply it by 2 feet. This results in about 22.2.
True/False: The adjacent side is the side touching theta.
False: The adjacent side is the side touching theta EXCLUDING the hypotenuse.
Is (8, 15, 17) a primitive pythagorean triple?
Yes
This trigonometric function abbreviates the following trigonometric function ratio: Sine/Tangent
Cosecant
Arya is designing a swing. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Arya wants the chairs to be 2.75 meters above the ground in full swing.
How tall should the pole of the swing be?
Roughly 7.12 meters. 2.75 + (5*cos(29°))