What is the value of $$\frac{1}{2}$$ in trigonometric terms?

The value of $$\frac{1}{2}$$ corresponds to the sine of 30 degrees or the cosine of 60 degrees.

What is the angle corresponding to $$\frac{3\text{π}}{4}$$ in degrees?

The angle corresponding to $$\frac{3\text{π}}{4}$$ is 135 degrees.

What is the value of $$\text{cos} \frac{2\text{π}}{3}$$ ?

The value of $$\text{cos} \frac{2\text{π}}{3}$$ is -0.5.

Define the term 'magnitude' in the context of vectors.

The magnitude of a vector is its length, calculated as $$\text{sqrt}(x^2 + y^2)$$ for a vector $$ $$ .

What is the formula for converting polar coordinates to rectangular coordinates?

The formulas for converting polar coordinates (r, θ) to rectangular coordinates (x, y) are: $$x = r \text{cos} \theta$$ and $$y = r \text{sin} \theta$$ .

What is the sine of 50 degrees multiplied by the cosine of 20 degrees?

Using the sine difference identity, $$\text{sin}(50^\text{o})\text{cos}(20^\text{o}) - \text{cos}(50^\text{o})\text{sin}(20^\text{o}) = \text{sin}(30^\text{o}) = \frac{1}{2}$$ .

What is the value of $$\text{sin} 30^\text{o}$$ ?

The value of $$\text{sin} 30^\text{o}$$ is $$\frac{1}{2}$$ .

What is the angle corresponding to $$-\frac{5\text{π}}{4}$$ in degrees?

The angle corresponding to $$-\frac{5\text{π}}{4}$$ is -225 degrees.

How do you find the angle of a complex number in polar form?

The angle of a complex number in polar form is found using $$\theta = \text{tan}^{-1}(\frac{b}{a})$$ , where $$a$$ is the real part and $$b$$ is the imaginary part.

What is the rectangular form of the complex number $$5(\text{cos} \frac{2\text{π}}{3} + i \text{sin} \frac{2\text{π}}{3})$$ ?

The rectangular form is $$-10 + 0i$$ , which simplifies to -10.

MAT-172 Exam Part 2 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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CCSS.HSF.TF.A.2

2.

FLASHCARD QUESTION

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State the polar form of a complex number.

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CCSS.HSN.CN.B.4

3.

FLASHCARD QUESTION

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What is the relationship between rectangular and polar coordinates?

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CCSS.HSN.CN.B.4

4.

FLASHCARD QUESTION

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Define the sine difference identity.

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CCSS.HSF.TF.C.9

5.

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What is the component form of a vector?

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CCSS.HSN.VM.A.2

6.

FLASHCARD QUESTION

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How do you express a complex number in rectangular form?

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CCSS.HSN.CN.A.1

7.

FLASHCARD QUESTION

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CCSS.HSF.TF.A.1

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