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0. Review of College Algebra(0)

Rationalizing Denominators
(0)

Pythagorean Theorem & Basics of Triangles
(0)

Basics of Graphing
(0)

Functions
(0)

Transformations
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Asymptotes
(0)

Solving Linear Equations
(0)

Solving Quadratic Equations
(0)

Complex Numbers
(0)

1. Measuring Angles(0)

Angles in Standard Position
(0)

Coterminal Angles
(0)

Complementary and Supplementary Angles
(0)

Radians
(0)

2. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
(0)

Special Right Triangles
(0)

Cofunctions of Complementary Angles
(0)

Solving Right Triangles
(0)

3. Unit Circle(0)

Defining the Unit Circle
(0)

Trigonometric Functions on the Unit Circle
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Common Values of Sine, Cosine, & Tangent
(0)

Reference Angles
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Reciprocal Trigonometric Functions on the Unit Circle
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4. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
(0)

Phase Shifts
(0)

Graphs of Secant and Cosecant Functions
(0)

Graphs of Tangent and Cotangent Functions
(0)

5. Inverse Trigonometric Functions and Basic Trigonometric Equations(0)

Inverse Sine, Cosine, & Tangent
(0)

Evaluate Composite Trig Functions
(0)

Linear Trigonometric Equations
(0)

6. Trigonometric Identities and More Equations(0)

Introduction to Trigonometric Identities
(0)

Sum and Difference Identities
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Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
(0)

7. Non-Right Triangles(0)

Law of Sines
(0)

Law of Cosines
(0)

Area of SAS & ASA Triangles
(0)

8. Vectors(0)

Geometric Vectors
(0)

Vectors in Component Form
(0)

Direction of a Vector
(0)

Unit Vectors and i & j Notation
(0)

Dot Product
(0)

Cross Product
(0)

9. Polar Equations(0)

Polar Coordinate System
(0)

Convert Points Between Polar and Rectangular Coordinates
(0)

Convert Equations Between Polar and Rectangular Forms
(0)

Graphing Other Common Polar Equations
(0)

10. Parametric Equations(0)

Graphing Parametric Equations
(0)

Eliminate the Parameter
(0)

Writing Parametric Equations
(0)

11. Graphing Complex Numbers(0)

Graphing Complex Numbers
(0)

Polar Form of Complex Numbers
(0)

Products and Quotients of Complex Numbers
(0)

Powers of Complex Numbers (DeMoivre's Theorem)
(0)

1. Measuring Angles

Radians

1. Measuring Angles

Radians: 동영상 및 연습문제

비디오 강의 실무 워크시트

83 문제점

연습하고 싶은 문제 유형:

문제 31객관식

Write the angle given below in degrees.

- 2π/3

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문제 32객관식

Write the angle given below in radians. Write your answer in the exact form.

150°

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문제 33객관식

For the following illustration, determine the exact value of the arc length intercepted by the central angle as shown.

Circle with a central angle of 7π/3 radians, illustrating arc length measurement.

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문제 34객관식

For the following illustration, determine the exact value of the arc length intercepted by the central angle as shown.

Circle with a central angle of 7π/6 and an arc length labeled 12.

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문제 35객관식

For the following circle, determine its radius given the arc length and central angle as shown.

Circle illustrating radians with arc length 14π and angle 2π/3, for radius calculation.

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문제 36객관식

For the following circle, determine its radius given the arc length and central angle as shown.

Circle illustrating arc length of 15π and central angle of 5π/3 for radius calculation.

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문제 37객관식

For the following illustration, determine the radian measure of the central angle.

Illustration showing a circle with a central angle θ and radius 19, asking for the radian measure.

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문제 38객관식

For the following illustration, determine the radian measure of the central angle.

Illustration showing a circle with a central angle θ, radius 9, and arc length 27.

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문제 39객관식

Determine the area of the indicated sector of the following circle.

Circle with radius 20 and angle theta, showing a sector area question in radians.

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문제 40객관식

Determine the area of the indicated sector of the following circle.

Circle with radius 32 and sector area labeled 48π, illustrating radians in trigonometry.

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문제 41객관식

Determine the arc length intercepted by the given central angle and radius of the circle. Express the answer to two decimal places.

r = 23.9 mm, θ = 3π/4 rad

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문제 42객관식

Determine the arc length intercepted by the given central angle and radius of the circle. Express the answer to two decimal places.

r = 4.56 ft, θ = 7π/8 rad

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문제 43객관식

Determine the arc length intercepted by the given central angle and radius of the circle. Express the answer to two decimal places.

r = 5.07 cm, θ = 80°

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문제 44객관식

Determine the arc length intercepted by the given central angle and radius of the circle. Express the answer to two decimal places.

r = 25.9 yd, θ = 240°

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문제 45객관식

Explain briefly what would happen to the arc length intercepted by a stationary central angle if the radius of the circle is tripled.

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문제 46객관식

Calculate the distance between the following places, on the assumption that they are on the same north-south line. Estimate the radius of the Earth to be 6400 km. Express the final answer to the nearest km.

Nha Trang, Vietnam, 12°N and Hai Phong, Vietnam 21°N

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문제 47객관식

Berlin, Germany 52°N and Rome, Italy 42°N

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문제 48객관식

Fukuoka, Japan, 34°N and Darwin, Australia, 12°S

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문제 49객관식

Ottawa, Canada, 45°N and Santiago, Chile 34°S

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문제 50객관식

Calculate the distance covered by the minute hand of a clock for the following duration if the distance of the tip of the minute hand from the center of the clock is 6 cm. Write your answer in terms of π.

50 min

Clock face showing minute hand at 12, distance from center marked as 6 cm.