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0. Review of College Algebra(0)

Rationalizing Denominators
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Pythagorean Theorem & Basics of Triangles
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Basics of Graphing
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Functions
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Transformations
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Asymptotes
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Solving Linear Equations
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Solving Quadratic Equations
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Complex Numbers
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1. Measuring Angles(0)

Angles in Standard Position
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Coterminal Angles
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Complementary and Supplementary Angles
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Radians
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2. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
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Special Right Triangles
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Cofunctions of Complementary Angles
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Solving Right Triangles
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3. Unit Circle(0)

Defining the Unit Circle
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Trigonometric Functions on the Unit Circle
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Common Values of Sine, Cosine, & Tangent
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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
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Phase Shifts
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Graphs of Secant and Cosecant Functions
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Graphs of Tangent and Cotangent Functions
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5. Inverse Trigonometric Functions and Basic Trigonometric Equations(0)

Inverse Sine, Cosine, & Tangent
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Evaluate Composite Trig Functions
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Linear Trigonometric Equations
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6. Trigonometric Identities and More Equations(0)

Introduction to Trigonometric Identities
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Sum and Difference Identities
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Double Angle Identities
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Solving Trigonometric Equations Using Identities
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7. Non-Right Triangles(0)

Law of Sines
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Law of Cosines
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Area of SAS & ASA Triangles
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8. Vectors(0)

Geometric Vectors
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Vectors in Component Form
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Direction of a Vector
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Unit Vectors and i & j Notation
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Dot Product
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Cross Product
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9. Polar Equations(0)

Polar Coordinate System
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Convert Points Between Polar and Rectangular Coordinates
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Convert Equations Between Polar and Rectangular Forms
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Graphing Other Common Polar Equations
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10. Parametric Equations(0)

Graphing Parametric Equations
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Eliminate the Parameter
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Writing Parametric Equations
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11. Graphing Complex Numbers(0)

Graphing Complex Numbers
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Polar Form of Complex Numbers
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Products and Quotients of Complex Numbers
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Powers of Complex Numbers (DeMoivre's Theorem)
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5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Linear Trigonometric Equations

5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Linear Trigonometric Equations: 동영상 및 연습문제

비디오 강의 실무 워크시트

105 문제점

연습하고 싶은 문제 유형:

문제 61객관식

Find the solutions of the given equation. Express your answer in degrees using the least possible non-negative angle measure. Round your answer to the nearest tenth, if necessary.

$2 \cos θ + \sqrt 3 = 0$

문제 62객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ . Express the solutions as exact values or rounded to two decimal places, if necessary.

$5 \tan x - 1 = 0$

문제 63객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ . Express the solutions as exact values or rounded to two decimal places, if necessary.

$2 sine x equals cosecant x$

문제 64객관식

Determine the exact solutions of the given trigonometric equation. Consider the interval $open bracket 0 comma 2 pi close paren$ .

$\cos 3 x = \frac{\sqrt{3}}{2}$

문제 65객관식

Determine the exact solutions of the given trigonometric equation. Consider the interval $open bracket 0 comma 2 pi close paren$ .

$\sin 3 x = - 1$

문제 66객관식

Determine the exact solution(s) of the given trigonometric equation. Consider the interval $[0^{\circ}, 360^{\circ})$ .

$\sin \frac{θ}{4} = \frac{1}{2}$

문제 67객관식

Determine the exact solution(s) of the given trigonometric equation. Consider the interval $[0^{\circ}, 360^{\circ})$ .

$\cos \frac{θ}{4} = - \frac{\sqrt{2}}{2}$

문제 68객관식

Determine the exact solution(s) of the given trigonometric equation. Consider the interval $[0^{\circ}, 360^{\circ})$ .

$\sin \frac{θ}{5} = - \frac{1}{2}$

문제 69객관식

A student is solving a trigonometric equation. A step in his solution appears as $3 x = \frac{π}{3}, \frac{5 π}{6}, \frac{4 π}{3}$ . If he considers an interval of $open bracket 0 comma 2 pi close paren$ , what are the values of $x$ ?

문제 70객관식

A student is solving a trigonometric equation. A step in his solution appears as $2 x = 210^{\circ}, 330^{\circ}, 420^{\circ}, 480^{\circ}$ . If he considers an interval of $[0^{\circ}, 360^{\circ})$ , what are the values of $x$ ?

문제 71객관식

Find the exact solutions of the equation. Consider the interval $open bracket 0 comma 2 pi close paren$ .

$2 \cos 3 x = \sqrt{2}$

문제 72객관식

Find the exact solutions of the equation. Consider the interval $open bracket 0 comma 2 pi close paren$ .

$sine 4 theta equals 1$

문제 73객관식

Find the exact solutions of the equation. Consider the interval $open bracket 0 comma 2 pi close paren$ .

$3 \tan 2 x = - \sqrt{3}$

문제 74객관식

Find the exact solutions of the equation. Consider the interval $open bracket 0 comma 2 pi close paren$ .

$2 cosine 4 x equals 1$

문제 75객관식

Find the exact solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ .

$\sin (\frac{x}{3}) = 1 - \sin (\frac{x}{3})$

문제 76객관식

Find all solutions of the given equation. Express your answer in radians using the least possible non-negative angle measure. Round your answer to the nearest hundredth, if necessary.

$2 \sin 5 x + \sqrt{3} = 0$

문제 77객관식

Find all solutions of the given equation. Express your answer in degrees using the least possible non-negative angle measure. Round your answer to the nearest hundredth, if necessary.

$\cos \frac{θ}{4} = - 1$

문제 78객관식

Find all solutions of the given equation. Express your answer in radians using the least possible non-negative angle measure. Round your answer to the nearest hundredth, if necessary.

$2 \sqrt{2} \sin \frac{x}{4} = 2$

문제 79객관식

Find all solutions of the given equation. Express your answer in degrees using the least possible non-negative angle measure. Round your answer to the nearest tenth, if necessary.

$\sin 2 θ + 3 = 5 \sin 2 θ$

문제 80객관식

With the help of a calculator, find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ . Round your answer to three decimal places.

$4 \sin (3 x) - x^{3} + 3 = 0$

문제 81객관식

Find the exact solutions of the given equation. Express your answer in degrees.

$2 \cos (\frac{θ}{4}) = 1$

문제 82객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ . Use the unit circle.

$\cos x = \frac{\sqrt{2}}{2}$

문제 83객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ . Use the unit circle.

$\cos x = - \frac{\sqrt{2}}{2}$

문제 84객관식

Find the solution of the given equation over the interval $open bracket 0 comma 2 pi close paren$ . Use the unit circle.

$\sin x = - 1$

문제 85객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ . Use the unit circle.

$\sin x = - \frac{\sqrt{2}}{2}$

문제 86객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 360 degrees close paren$ . Use the unit circle.

$\cos θ = - \frac{\sqrt{3}}{2}$

문제 87객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 360 degrees close paren$ . Use the unit circle.

$\sin θ = - \frac{1}{2}$

문제 88객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ .

$8 \cot x + 5 \sqrt{3} = - 3 \sqrt{3}$

문제 89객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ .

$2 \sin x - 13 = - 14$

문제 90객관식

Find the solutions of the given equation over the interval $open bracket 0 comma 2 pi close paren$ .

$(\cot x + 1) (3 \cot x - \sqrt 3) = 0$

Evaluate Composite Trig Functions 연습문제 Introduction to Trigonometric Identities 연습문제

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Trigonometric Equations Solver

Solve common trigonometric equations step by step in degrees or radians