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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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Complex Numbers
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Angles in Standard Position
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Trigonometric Functions on Right Triangles
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Special Right Triangles
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Solving Right Triangles
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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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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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Introduction to Trigonometric Identities
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Double Angle Identities
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Law of Sines
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Graphing Parametric Equations
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11. Graphing Complex Numbers(0)

Graphing Complex Numbers
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Powers of Complex Numbers (DeMoivre's Theorem)
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11. Graphing Complex Numbers

Powers of Complex Numbers (DeMoivre's Theorem)

11. Graphing Complex Numbers

Powers of Complex Numbers (DeMoivre's Theorem): 동영상 및 연습문제

비디오 강의 실무 워크시트

42 문제점

연습하고 싶은 문제 유형:

문제 1객관식

Find [4(cos 42° + i sin 42°)]⁵ using DeMoivre's Theorem. Express the answer in rectangular form.

문제 2객관식

Find [5(cos 75° + i sin 75°)]⁴ using DeMoivre's Theorem. Express the answer in rectangular form.

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문제 3객관식

Find [7(cos 110° + i sin 110°)]³ using DeMoivre's Theorem. Express the answer in rectangular form.

문제 4객관식

Find [(1/3)(cos (3π/10) + i sin (3π/10))]⁵ using DeMoivre's Theorem. Express the answer in rectangular form.

문제 5객관식

Find [(1/5)(cos (11π/24) + i sin (11π/24))]⁴ using DeMoivre's Theorem. Express the answer in rectangular form.

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문제 6객관식

Find [√6(cos (2π/3) + i sin (2π/3))]⁴ using DeMoivre's Theorem. Express the answer in rectangular form.

문제 7객관식

Find [(√7)(cos (2π/9) + i sin (2π/9))]⁶ using DeMoivre's Theorem. Express the answer in rectangular form.

문제 8객관식

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.

(1 + i)¹⁰

문제 9객관식

Find (2 - 2i)⁵ using DeMoivre's Theorem. Express the answer in rectangular form.

문제 10객관식

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.

(1 − √3i)¹⁶

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문제 11객관식

Find (√3 - i√3)⁵ using DeMoivre's Theorem. Express the answer in rectangular form.

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문제 12객관식

Determine all the complex roots for the given complex number. Express the complex roots in the polar form using angles in degrees.

The complex square roots of 36(cos 60° + i sin 60°)

문제 13객관식

Determine all the complex roots for the given complex number. Express the complex roots in the polar form using angles in degrees.

The complex square roots of 256(cos 240° + i sin 240°)

문제 14객관식

Determine all the complex roots for the given complex number. Express the complex roots in the polar form using angles in degrees.

The complex cube roots of 729(cos 225° + i sin 225°)

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문제 15객관식

Determine all the complex roots for the given complex number. Express the complex roots in the rectangular form. Express your answer in one decimal if required.

The complex fifth roots of 32 (cos 5π/4 + i sin 5π/4)

문제 16객관식

Determine all the complex fifth roots of 243(cos (5π/6) + i sin (5π/6)). Express the roots in rectangular form and round to one decimal if needed.

문제 17객관식

Determine all the complex fifth roots of 1024. Express the roots in rectangular form and round to one decimal if needed.

문제 18객관식

Determine all the complex sixth roots of 729. Express the roots in rectangular form and round to one decimal if needed.

문제 19객관식

Determine all the complex roots for the given complex number. Express the complex roots in the rectangular form. Express your answer in one decimal if required.

The complex fourth roots of 16

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문제 20객관식

Determine all the complex roots for the given complex number. Express the complex roots in the rectangular form. Express your answer in one decimal if required.

The complex fourth roots of 1 + √3i

문제 21객관식

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.

[4(cos 10° + i sin 10°)]⁶

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문제 22객관식

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.

[8(cos 30° + i sin 30°)] ⁵

문제 23객관식

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.

[14(cos(π/18) + i sin(π/18))] ⁶

문제 24객관식

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.

(√12 - 2i)⁴

문제 25객관식

Find the value of the given complex number using DeMoivre's Theorem. Express your answer in rectangular form.

(-3 - 3i)⁶

문제 26객관식

Determine all the complex roots for the given complex number. Express the complex roots in the polar form using angles in degrees.

The complex cube roots of 216(cos 135° + i sin 135°)

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문제 27객관식

Determine all the complex fourth roots of 81(cos (4π/3) + i sin (4π/3)). Express the roots of the complex number in rectangular form.

문제 28객관식

Determine all the complex cube roots of 216i. Express the roots of the complex number in rectangular form.

문제 29객관식

Determine all the complex cube roots of -343. Express the roots of the complex number in rectangular form.

문제 30객관식

Determine all the complex roots for the given complex number. Express the complex roots in the rectangular form.

The complex fifth roots of -√3 − i

Products and Quotients of Complex Numbers 연습문제

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