What is the Pythagorean identity involving sine and cosine?

The Pythagorean identity states that $$\sin^2\theta + \cos^2\theta = 1$$ .

How do you find the cosine of an angle if you know the sine?

You can use the Pythagorean identity: $$\cos\theta = \sqrt{1 - \sin^2\theta}$$ .

What is the value of $$\csc\theta$$ if $$\sec\theta = -7$$ and $$\tan\theta > 0$$ ?

$$\csc\theta = \frac{7\sqrt{3}}{12}$$ .

What is the relationship between the secant and cosine functions?

The secant function is the reciprocal of the cosine function: $$\sec\theta = \frac{1}{\cos\theta}$$ .

What is the definition of the cotangent function?

The cotangent function is defined as $$\cot\theta = \frac{\cos\theta}{\sin\theta}$$ .

What is the relationship between tangent and cotangent?

Tangent and cotangent are reciprocals: $$\tan\theta = \frac{1}{\cot\theta}$$ .

If $$\tan\theta > 0$$ , in which quadrants can theta be located?

Theta can be located in the first or third quadrants, where tangent is positive.

What is the formula to convert from radians to degrees?

To convert from radians to degrees, use the formula: $$\text{Degrees} = \text{Radians} \times \frac{180}{\pi}$$ .

PCH 4.4 Part II Mini Checkpoint Flashcard V1 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of the tangent function in terms of sine and cosine?

Back

2.

FLASHCARD QUESTION

Front

What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the hypotenuse, and the cosine is the ratio of the length of the adjacent side to the hypotenuse.

3.

FLASHCARD QUESTION

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1.

4.

FLASHCARD QUESTION

Front

What is the range of the cosine function?

Back

The range of the cosine function is from -1 to 1.

5.

FLASHCARD QUESTION

Front

What is the definition of the secant function?

Back

6.

FLASHCARD QUESTION

Front

What is the definition of the cosecant function?

Back

7.

FLASHCARD QUESTION

Front

Back

Theta is in the second quadrant, where sine is positive and tangent is negative.

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