Podcast
Questions and Answers
What is the value of sinθ if (-2, 6) is a point on the terminal side of θ?
What is the value of sinθ if (-2, 6) is a point on the terminal side of θ?
In which quadrant does θ lie if sinθ < 0 and secθ > 0?
In which quadrant does θ lie if sinθ < 0 and secθ > 0?
What is the value of cosθ if tanθ = 1/√3 and sinθ > 0?
What is the value of cosθ if tanθ = 1/√3 and sinθ > 0?
What is the reference angle for θ = 300°?
What is the reference angle for θ = 300°?
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What is the period of the function f(x) = -3tan(2x – π)?
What is the period of the function f(x) = -3tan(2x – π)?
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Study Notes
Trigonometric Function Evaluation and Properties
- Finding sine given a point on terminal side: If (-2, 6) is on the terminal side of θ, sinθ = 6/√(40) = 3√(10)/10.
Quadrant Determination
- Quadrant identification based on sine and secant: If sinθ < 0 and secθ > 0, θ is in Quadrant IV.
Cosine Determination from Tangent and Sine
- Finding cosine given tangent and sine: If tanθ = 1/√3 and sinθ > 0, cosθ = √3/2
Reference Angle Calculation
- Finding reference angle for (given angle): The reference angle of 315° is 45°.
Exact Value of sine (angle provided)
- Exact value of sin 135°: sin 135° = √2/2
Exact Value of secant (angle provided)
- Exact value of sec 300°: sec 300°= 2
Exact Value of tangent (angle provided)
- Exact value of tan 240°: tan 240° = √3
Cosine of 540 degrees
- Cosine of 540 degrees: cos 540° = 1
Phase Shift of a Sine Function
- Phase shift of a sine function: f(x) = 3sin(4x – π) + 1 has a phase shift of π/4 to the right.
Period of a Tangent Function
- Period of a tangent function: f(x) = -3tan(2x – π) has a period of π/2
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Description
Test your knowledge on evaluating trigonometric functions, determining quadrants, and calculating reference angles. This quiz covers key concepts including sine, cosine, and secant values for various angles as well as important properties of trigonometric functions.
