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Questions and Answers
What is the degree measure equivalent of $3.75$ radians?
What is the degree measure equivalent of $3.75$ radians?
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
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 ______.
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Match the following angles with their corresponding sine value:
Match the following angles with their corresponding sine value:
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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?
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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.
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Find $ heta$ if $ ext{Cot} heta = 3$. Provide the angle in degrees.
Find $ heta$ if $ ext{Cot} heta = 3$. Provide the angle in degrees.
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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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Description
Prepare for your final exam in trigonometry with this comprehensive review. This quiz covers key concepts including conversions between degrees and radians, solving right triangles, and understanding trigonometric functions and identities. Test your knowledge and get ready to excel on your exam!
