Geometry, Unit 5: Right Triangle Trigonometry. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
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- What is the Pythagorean Theorem?
- In a right triangle, a^2 + b^2 = c^2, where c is the hypotenuse
- What does the Pythagorean Theorem relate?
- The lengths of the two legs and the hypotenuse of a right triangle
- What is the converse of the Pythagorean Theorem used for?
- Determining if a triangle is a right triangle, given its three side lengths
- What is a Pythagorean triple?
- A set of three whole numbers satisfying a^2 + b^2 = c^2
- Name a common Pythagorean triple
- 3, 4, 5
- What is sine (sin) in a right triangle?
- The ratio of the opposite side to the hypotenuse
- What is cosine (cos) in a right triangle?
- The ratio of the adjacent side to the hypotenuse
- What is tangent (tan) in a right triangle?
- The ratio of the opposite side to the adjacent side
- What mnemonic helps remember the trigonometric ratios?
- SOH-CAH-TOA
- What is the angle of elevation?
- The angle between the horizontal and a line of sight looking upward
- What is the angle of depression?
- The angle between the horizontal and a line of sight looking downward
- What is a 45-45-90 triangle's side ratio?
- The legs are equal, and the hypotenuse is a leg times the square root of 2
- What is a 30-60-90 triangle's side ratio?
- The short leg, long leg, and hypotenuse are in the ratio 1 : sqrt(3) : 2
- What is an inverse trigonometric function used for?
- Finding an angle when the ratio of sides is known
- What is arcsin (or sin^-1) used to find?
- The angle whose sine equals a given ratio
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