Podcast
Questions and Answers
What is the formula to find the measure of an angle in radians?
What is the formula to find the measure of an angle in radians?
- θ=r/s
- θ=s/r (correct)
- θ=s*r
- θ=s+r
What is the measure of a complete turn around the circle in radians?
What is the measure of a complete turn around the circle in radians?
- π radians
- 2π radians (correct)
- 4π radians
- 3π radians
What is the name given to angles that share the same starting and ending positions but have different measures?
What is the name given to angles that share the same starting and ending positions but have different measures?
- Coterminal angles (correct)
- Supplementary angles
- Conjugate angles
- Complementary angles
What is the ratio of side lengths for a 45°-45°-90° triangle?
What is the ratio of side lengths for a 45°-45°-90° triangle?
What is the range of values on the y-axis for the sine and cosine functions?
What is the range of values on the y-axis for the sine and cosine functions?
What is the purpose of special triangles on the unit circle?
What is the purpose of special triangles on the unit circle?
What is the definition of periodic phenomena?
What is the definition of periodic phenomena?
What is the period of a periodic function?
What is the period of a periodic function?
What is the definition of an interval of increase?
What is the definition of an interval of increase?
What is the definition of concavity?
What is the definition of concavity?
What is an angle in standard position?
What is an angle in standard position?
What is the average rate of change of a function?
What is the average rate of change of a function?
Flashcards
Formula for angle in radians?
Formula for angle in radians?
θ=s/r, where θ is the angle in radians, s is the arc length, and r is the radius.
Radians in a complete turn?
Radians in a complete turn?
A complete turn around the circle is equal to 2π radians.
Coterminal angles?
Coterminal angles?
Angles that share the same initial and terminal sides, but differ in the amount of rotation.
Ratio of 45°-45°-90° triangle sides?
Ratio of 45°-45°-90° triangle sides?
The sides are in the proportion 1:1:√2, where √2 is the hypotenuse.
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Range of sine and cosine?
Range of sine and cosine?
The range is [-1, 1], meaning sine and cosine values always fall between -1 and 1, inclusive.
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Purpose of special triangles?
Purpose of special triangles?
Special triangles on the unit circle help in determining exact trigonometric ratios for common angles.
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Periodic phenomena?
Periodic phenomena?
Phenomena that repeat their pattern over time or space.
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Period of a periodic function?
Period of a periodic function?
The period is the horizontal length of one complete cycle of the function.
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Interval of increase?
Interval of increase?
An interval of increase is an range of x-values where the function's value increases from left to right.
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Concavity?
Concavity?
Concavity describes how a curve bends; it's concave up if it 'holds water', concave down if it 'spills water'.
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Angle in standard position?
Angle in standard position?
An angle in standard position has its vertex at the origin and its initial side along the positive x-axis.
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Average rate of change?
Average rate of change?
The change in the function's output divided by the change in its input; rise over run.
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