How do you find coterminal angles for an angle $$\theta$$ ?

To find coterminal angles for an angle $$\theta$$ , use the formula: $$\theta + 2\theta k$$ , where $$k$$ is any integer.

What is the general solution for $$\tan\theta = 1$$ ?

The general solution for $$\tan\theta = 1$$ is $$\frac{\theta}{4} + \frac{\theta}{2} k$$ , where $$k$$ is any integer.

What is the value of $$k$$ in the expression $$\frac{\theta}{3} + 2\theta k$$ when finding angles?

In the expression $$\frac{\theta}{3} + 2\theta k$$ , $$k$$ represents the number of full rotations (in radians) around the circle.

How do you express every angle coterminal with $$\frac{\theta}{4}$$ ?

Every angle coterminal with $$\frac{\theta}{4}$$ can be expressed as $$\frac{\theta}{4} + 2\theta k$$ .

What are the next three angles from $$\frac{\theta}{6} + 2\theta k$$ if $$k = 1$$ ?

The next three angles are $$\frac{13\theta}{6}, \frac{25\theta}{6}, \frac{37\theta}{6}$$ .

If $$\frac{\theta}{3}, \frac{7\theta}{3}, \frac{13\theta}{3}$$ are coterminal, what can be said about their cosine values?

They all have the same cosine value because they are coterminal.

What is the formula for finding angles where $$\tan\theta = -1$$ ?

The formula is $$\frac{3\theta}{4} + \theta k$$ , where $$k$$ is any integer.

How do you find the next angle after $$\frac{\theta}{3} + 2\theta k$$ ?

To find the next angle, increase $$k$$ by 1 in the expression $$\frac{\theta}{3} + 2\theta k$$ .

What is the significance of the integer $$k$$ in angle expressions?

The integer $$k$$ indicates the number of complete rotations around the circle, allowing for the representation of multiple angles.

How can you express every angle where $$\tan\theta = 0$$ ?

Every angle where $$\tan\theta = 0$$ can be expressed as $$\theta k$$ , where $$k$$ is any integer.

What is the relationship between angles $$\frac{\theta}{4}$$ and $$\frac{5\theta}{4}$$ ?

Angles $$\frac{\theta}{4}$$ and $$\frac{5\theta}{4}$$ are coterminal because they differ by $$2\theta$$ .

How do you determine if two angles are coterminal?

Two angles are coterminal if their difference is a multiple of $$2\theta$$ .

What is the general solution for angles where $$\tan\theta = 1$$ ?

The general solution is $$\frac{\theta}{4} + \theta k$$ , where $$k$$ is any integer.

Find angle given exact value

Flashcard

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Mathematics

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11th Grade

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Practice Problem

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Hard

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CCSS

HSF.TF.B.7, HSF.TF.A.2, 4.MD.C.5B

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What is a coterminal angle?

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