Podcast
Questions and Answers
What is the value of $cos(13\pi/6)$?
What is the value of $cos(13\pi/6)$?
- $-\frac{1}{2}$ (correct)
- $0$
- $-\frac{\sqrt{3}}{2}$
- $\frac{\sqrt{3}}{2}$
What is the value of $sec(120°)$?
What is the value of $sec(120°)$?
- $-\frac{2}{\sqrt{3}}$
- $-\frac{1}{2}$
- $-2$ (correct)
- $\frac{2}{\sqrt{3}}$
Which of the following is a geometric sequence?
Which of the following is a geometric sequence?
- $5, 10, 15, 20$
- $1, 3, 5, 7$
- $2, 4, 8, 16$
- $3, 6, 12, 24$ (correct)
Which of the following correctly represents the sum of the first 25 multiples of 5?
Which of the following correctly represents the sum of the first 25 multiples of 5?
What is the length of an arc of a circle with radius 10m that subtends a central angle of 30°?
What is the length of an arc of a circle with radius 10m that subtends a central angle of 30°?
Flashcards
5th term of Fibonacci sequence 5, 6, 11, ...
5th term of Fibonacci sequence 5, 6, 11, ...
The 5th term in the Fibonacci sequence 5, 6, 11,... is found by adding the previous two terms.
cos(13Ï€/6)
cos(13Ï€/6)
The cosine of 13Ï€/6 radians.
Amount of rotation of a ray
Amount of rotation of a ray
Angle of rotation, expressed in degrees or radians.
sec(120°)
sec(120°)
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cot(5Ï€/3)
cot(5Ï€/3)
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Study Notes
Fibonacci Sequence
- The 5th term of the Fibonacci sequence 5, 6, 11, ... is not specified with enough information. More terms or a rule for generating the sequence are required.
Trigonometry - Cosine
- cos(13π/6) = √3/2
Trigonometry - Rotation
- The amount of rotation generated when a ray is rotated about its endpoints is called an angle.
Trigonometry - Secant
- sec(120°) = -2
Trigonometry - Cosine
- cos(240°) = -1/2
Trigonometry - Cotangent
- cot(5π/3) = √3
Geometric Sequence
- No geometric sequence is given for analysis.
Sum of Multiples
- The sum of the first 25 multiples of 5 is 15625.
Arc Length
- The length of an arc of a circle with radius 10m that subtends a central angle of 30° is (5π/6) m.
Initial Side of a Central Angle
- The initial side of a central angle is located on the positive x-axis in a standard Cartesian plane.
Coordinates of -180° in Unit Circle
- The coordinates of -180° in the unit circle are (-1, 0).
Pythagorean Identities
- No Pythagorean identities are listed for comparison.
Conditional Equations
- No conditional equations are listed for analysis.
Trigonometry - Cotangent
- cot(225°) = -1
Linear Equations
- No linear equations are provided for identification.
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