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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