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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
(0)

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
(0)

Common Values of Sine, Cosine, & Tangent
(0)

Reference Angles
(0)

Reciprocal Trigonometric Functions on the Unit Circle
(0)

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
(0)

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)

3. Unit Circle

Trigonometric Functions on the Unit Circle

3. Unit Circle

Trigonometric Functions on the Unit Circle: 동영상 및 연습문제

비디오 강의 실무 워크시트

115 문제점

연습하고 싶은 문제 유형:

문제 31객관식

Determine the value of the given trigonometric circular function with the help of a calculator. Round the answer to four decimal places.

csc (- 11.8637)

문제 32객관식

Determine the value of the given trigonometric circular function with the help of a calculator. Round the answer to four decimal places.

sec 6.3690

문제 33객관식

Determine the value of the given trigonometric circular function with the help of a calculator. Round the answer to four decimal places.

cot 8.4798

문제 34객관식

Determine whether the value of the trigonometric function is positive or negative. Do not use a calculator.

cos 1.73

문제 35객관식

Determine whether the value of the trigonometric function is positive or negative. Do not use a calculator.

sin (-1.3)

문제 36객관식

Determine whether the value of the trigonometric function is positive or negative. Do not use a calculator.

sin 5.8

문제 37객관식

Determine whether the value of the trigonometric function is positive or negative. Do not use a calculator.

cos 5.1

문제 38객관식

Determine whether the value of the trigonometric function is positive or negative. Do not use a calculator.

tan 7.2

문제 39객관식

Considering the interval [0, π/2], find the approximate value of x. Express your answer in four decimal places.

tan x = 0.5428

문제 40객관식

Considering the interval [0, π/2], find the approximate value of x. Express your answer in four decimal places.

cos x = 0.6508

문제 41객관식

Considering the interval [0, π/2], find the approximate value of x. Express your answer in four decimal places.

sin x = 0.9783

문제 42객관식

Considering the interval [0, π/2], find the approximate value of x. Express your answer in four decimal places.

sec x = 1.2937

문제 43객관식

Find the exact value of p. The angle p lies in the interval [π/2, π].

sin p = (√3)/2

문제 44객관식

Find the exact value of p. The angle p lies in the interval [π/2, π].

tan p = -√3

문제 45객관식

Find the exact value of p. The angle p lies in the interval [π, 3π/2].

tan p = (√3)/3

문제 46객관식

Considering the interval [0, 2π), find the exact values of p.

sin p = -1/2

문제 47객관식

Considering the interval [0, 2π), find the exact values of p.

cos² p = 3/4

문제 48객관식

Considering the interval $[- π, π)$ , find the exact values of $p$ .

$tangent squared p equals 3$

문제 49객관식

Consider an arc of length p on the unit circle x² + y² = 1. The starting and terminating points of the arc are (1, 0) and (x, y), respectively. With the help of a calculator, determine the approximate coordinates of the point (x, y) when p = 3.5. Round the answer to four decimal places.

Unit circle illustrating arc length p with coordinates (x,y) and formulas for x and y.

문제 50객관식

Consider an arc of length p on the unit circle x² + y² = 1. The starting and terminating points of the arc are (1, 0) and (x, y), respectively. With the help of a calculator, determine the approximate coordinates of the point (x, y) when p = -6.8. Round the answer to four decimal places.

Unit circle diagram showing arc length p, points (1,0) and (x,y), with coordinates and formulas.

문제 51객관식

Using a calculator, determine the approximate values of sin p and cos p where p = 47. Identify in which quadrant an angle of p radians is located.

문제 52객관식

Using a calculator, determine the approximate values of sin p and cos p where p = 71. Identify in which quadrant an angle of p radians is located.

문제 53객관식

Determine the exact value of the given function.

tan (5π/6)

문제 54객관식

Determine the exact value of the given function.

sin (-3π/4)

문제 55객관식

Determine the exact value of the given function.

csc (-7π/4)

문제 56객관식

Determine which of the following given trigonometric functions has a greater value. Do not use a calculator.

tan 1.3 or tan 2.3

문제 57객관식

Determine which of the following trigonometric functions has a greater value. Do not use a calculator.

$cosine 1.4$ or $sine 1.4$

문제 58객관식

Determine the value of the trigonometric circular function using a calculator. Round the answer to four decimal places.

$sine 3.5789$

문제 59객관식

Determine the value of the given trigonometric circular function with the help of a calculator. Round the answer to four decimal places.

cos (-0.7645)

문제 60객관식

Determine the value of the given trigonometric circular function with the help of a calculator. Round the answer to four decimal places.

sec 9.2694

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Defining the Unit Circle 연습문제 Common Values of Sine, Cosine, & Tangent 연습문제

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Add, subtract, multiply, and divide complex numbers — with Argand diagrams and step-by-step solutions

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