Vocab & Facts
The word TRIGONOMETRY comes from Greek words literally meaning "triangle measurement". Tangent comes from the Latin tangere, the verb meaning this.
What is "to touch"?
The tangent of a 45 degree angle.
What is 1?
The square root of 294 reduces to this.
What is 7√6?
Parker was noticing a right triangle in his room. He immediately got out his protractor and ruler! In this right triangle, the measure of one of the angles is 49° and the hypotenuse has a length of 50 cm. This is the length, rounded to the nearest tenth of a centimeter, of the leg opposite to this angle?
What is 37.7 cm?
Every side of the triangle can be a base, and from every vertex you can draw the line perpendicular to a line containing THIS.
What is an altitude?
SOH CAH TOA is an acronym for remembering the what ratios the trigonometric functions are defined to be. Name one of the other three trig functions (their inverses).
What are cosecant, secant, or cotangent?
The adjacent side of a 60-degree angle in a right triangle whose hypotenuse is 25 cm.
What is 12.5 cm?
√(200/49) simplified.
What is 2√10/7?
Allie's kite is flying above the NOVA field at the end of 65 m of string. If the angle of elevation to the kite measures 70 degrees, and Em is holding the 1.2 m off the ground. This is the height above the ground at which the kite is flying.
What is 62.28 cm?
The special formula involving an equilateral triangle is side squared times the square root of 3, divided by 4, representing this.
What is the area of the triangle?
The secant is the ________ of the cosine.
What is the reciprocal?
Triangle ABC is isosceles. If one leg is 321 mm, this is the measure of the hypotenuse.
What is 453.96 mm or 321(sq rt (2)) mm.
A square has an area of 121 square feet. This is the PERIMTER of the square.
What is 44 ft?
Case is designing a ramp up to a stage to make it wheelchair accessible. The stage is 4 ft high, and building regulations state that the ramp angle must be 9°. The length of the ramp is this, as measured along its slope?
What is 25.57 ft?
The prime application of trigonometry in past cultures, not just ancient Greece, is in this branch of science.
What is astronomy?
According to James, frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at this in the Cartesian coordinate system in the Euclidean plane.
What is the origin?
The longer side's measure of a 30-60-90 triangle is the length of the shorter leg multiplied by this.
What is sq root of 3?
Simplify 3√8 + 5√4 + 3√2
What is 9√2 + 10?
Andrew is building a cat house for his awesome cats. If he knows the height he wants to build a ramp to and the angle the bottom of the ramp should be made with the ground, he should use this trig ratio to determine how long a piece of wood to buy for the ramp.
What is Sin?
This 8-letter word can simply mean "next to".
What is adjacent?
When thinking about the Angle of Elevation and Depression, angles are measured upwards or downwards from this kind of line.
What is horizontal?
This smallest Pythagorean Triple is the only right triangle with edges in arithmetic progression.
What is a 3-4-5 triangle?
This is why plants hate math.
What is because it gives them square roots! :)
Sin 0 = Cos ___
What is 90 degrees?
A line that continually approaches a given curve but does not meet it at any finite distance.
What is an asymptote?