Podcast
Questions and Answers
What is the degree measure equivalent of $3.75$ radians?
What is the degree measure equivalent of $3.75$ radians?
- 270°
- 360°
- 214° (correct)
- 180°
The cosine of an angle corresponding to the point (15, -20) is $ rac{3}{5}$.
The cosine of an angle corresponding to the point (15, -20) is $ rac{3}{5}$.
True (A)
Given a right triangle with sides of lengths $5$, $12$, and $13$, what is the value of $ ext{Sec} heta$?
Given a right triangle with sides of lengths $5$, $12$, and $13$, what is the value of $ ext{Sec} heta$?
1.0833 or 13/12
The period of the function $y = -3 ext{Cos}(3x + rac{ ext{π}}{3})$ is ______.
The period of the function $y = -3 ext{Cos}(3x + rac{ ext{π}}{3})$ is ______.
Match the following angles with their corresponding sine value:
Match the following angles with their corresponding sine value:
If $ ext{Sin } A = rac{1}{ ext{√2}}$ and $ ext{Cos } A = rac{1}{ ext{√2}}$, which quadrant is angle A located in?
If $ ext{Sin } A = rac{1}{ ext{√2}}$ and $ ext{Cos } A = rac{1}{ ext{√2}}$, which quadrant is angle A located in?
Cotangent is defined as the ratio of the adjacent side to the opposite side.
Cotangent is defined as the ratio of the adjacent side to the opposite side.
Find $ heta$ if $ ext{Cot} heta = 3$. Provide the angle in degrees.
Find $ heta$ if $ ext{Cot} heta = 3$. Provide the angle in degrees.
Flashcards
Converting degrees to radians
Converting degrees to radians
Multiply degrees by π/180 to get radians.
Finding cosine with a point
Finding cosine with a point
Divide x-coordinate by the distance from the origin (r) to the point (x,y).
Trigonometric values in a right triangle
Trigonometric values in a right triangle
Sec θ = hypotenuse/adjacent, Cot θ = adjacent/opposite for a given angle θ.
Solving a right triangle (given sides)
Solving a right triangle (given sides)
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Cosine and sine in different quadrants
Cosine and sine in different quadrants
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Period of a cosine function
Period of a cosine function
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Solving trigonometric equations
Solving trigonometric equations
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Number of triangles (ambiguous case)
Number of triangles (ambiguous case)
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Study Notes
Final Exam Review
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Conversion Between Degrees and Radians: 30° = π/6 radians, 45° = π/4 radians.
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Converting Radians to Degrees: 3.75 radians = 214°.
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Trigonometric Function with Point: Cos θ=15/25=3/5 given terminal point(15,-20), finding cosθ.
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Trigonometric Ratios for Triangle: Find sec θ and cot θ from triangle with sides 13, 12, 5 using known trigonometric identities.
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Solving Right Triangles: Provided side lengths "a=4, b=5" to find the missing angles (solve for angle A, and angle B).
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Trigonometric Function with Reference Angle: Given sin θ = 1/2 and θ in Quadrant II , find cosθ
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Periodic Function Properties: Period of y = -3cos(3x+π/3) is noted as 2π/3 or 120°.
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Graphing Trigonometric Functions: Amplitude of y = 1/2 cos(2x+π)+1 is ½ and period is π. Phase shift is -π/2.
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Trigonometric Identities: CSC x + Cotx = 1+cosx/sinx.
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Simplifying Trigonometric Expressions: Simplify cos x -1. sin(-x)= -sinx.
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Trigonometric Identities: Sec A = 1/Cos A, Cot A = Cos A /Sin A, Basic Trigonometric Identities are used.
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Trigonometric Formula Find sin(A+B).Given A in QIV, B in QIII
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Trigonometric Function of a given angle: Find the exact value of cos(30°) – sin(25°)sin(25°).
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Trigonometric Functions and Angles: Given Sin 195° = ? + Cos 390 degrees / 2 is positive or negative in Quadrant III
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Trigonometric Identities Show tan x = sec x is not an identity.
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Solving for Angle: Given sin θ =.261, find the possible values of θ by using inverse trig functions using the unit circle.
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Trigonometric Function with Reference Angle: Find the angle θ if cot θ = 3.
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Trigonometric Equations: Solving for x in the equation 2 cos x = 1 give x = 60°.
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Solving Triangles with Angle-Side Relationships: Find the remaining angles (and sides using law of sines or cosines) in a triangle with given angles and sides.
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Area of Triangles: Find the area of the triangle where a = 3, b=4, and c=5. Use Heron's formula.
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Vector Components: Given vector magnitude and angle, find the x and y components.
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Converting Polar Coordinates to Rectangular Coordinates: Given polar coordinates (-6,π/3), convert to rectangular form.
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**Converting Rectangular Coordinates to Polar Coordinates:**Write equivalent rectangular equation r=7cosθ.
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