Podcast
Questions and Answers
What does the sine function represent in a right triangle?
What does the sine function represent in a right triangle?
- Opposite / Adjacent
- Hypotenuse / Adjacent
- Adjacent / Hypotenuse
- Opposite / Hypotenuse (correct)
Which of the following is the correct reciprocal of cosine?
Which of the following is the correct reciprocal of cosine?
- Secant (correct)
- Tangent
- Cosecant
- Cotangent
In the Pythagorean theorem, if a = 3 and b = 4, what is the value of c?
In the Pythagorean theorem, if a = 3 and b = 4, what is the value of c?
- 8
- 7
- 5 (correct)
- 6
If you know the lengths of the opposite and adjacent sides of a triangle, which trigonometric function would you use to find the angle?
If you know the lengths of the opposite and adjacent sides of a triangle, which trigonometric function would you use to find the angle?
Which triangle is NOT classified as a special right triangle according to the common examples?
Which triangle is NOT classified as a special right triangle according to the common examples?
Flashcards
SOH CAH TOA
SOH CAH TOA
A mnemonic used to remember the trigonometric ratios of sine, cosine, and tangent in a right triangle.
Pythagorean Theorem
Pythagorean Theorem
The relationship between the sides of a right triangle: the square of the hypotenuse equals the sum of the squares of the other two sides.
Cosecant (csc)
Cosecant (csc)
A trigonometric function that is the reciprocal of sine, defined as the hypotenuse divided by the opposite side of a right triangle.
Secant (sec)
Secant (sec)
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Cotangent (cot)
Cotangent (cot)
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Study Notes
Right Triangle Trigonometry
-
SOH CAH TOA is a mnemonic used to remember the trigonometric ratios:
- Sine = Opposite / Hypotenuse
- Cosine = Adjacent / Hypotenuse
- Tangent = Opposite / Adjacent
-
Reciprocal Trigonometric Functions:
- Cosecant (csc) = 1 / Sine = Hypotenuse / Opposite
- Secant (sec) = 1 / Cosine = Hypotenuse / Adjacent
- Cotangent (cot) = 1 / Tangent = Adjacent / Opposite
-
Pythagorean Theorem: a² + b² = c²
- Used to find the missing side of a right triangle, where 'c' is the hypotenuse.
-
Special Right Triangles: Commonly used in trigonometry.
- 3-4-5 triangle
- 5-12-13 triangle
- 8-15-17 triangle
- 7-24-25 triangle
- Multiples of these numbers also work.
-
Finding Missing Sides:
- Identify the trigonometric function that relates the known side(s) and the unknown side.
- Set up the equation using SOH CAH TOA.
- Solve for the unknown side.
-
Finding Missing Angles:
- Identify the trigonometric function that relates the known sides.
- Set up the equation.
- Use inverse trigonometric functions (arcsin, arccos, arctan) to solve for the angle.
-
Trigonometry Course on Udemy:
- The course covers angles, radians, unit circle, right triangle trigonometry, trigonometric functions, graphs, identities, and more.
- There are video quizzes at the end of each section.
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Description
Test your understanding of right triangle trigonometry concepts. This quiz covers the mnemonic SOH CAH TOA, reciprocal trigonometric functions, the Pythagorean Theorem, and how to find missing sides of right triangles. Dive into special right triangles and solidify your grasp on these essential trigonometric principles.
