Simplify the expression $$\frac{\cos\theta \sec\theta}{\tan\theta}$$ .

The simplified expression is $$\cot\theta$$ .

Simplify $$\frac{\sec^2\theta - 1}{\sec^2\theta}$$ .

The simplified expression is $$\sin^2\theta$$ .

Which formula is used to solve for $$\sin(75\degree)$$ ?

The formula used is $$\pm\sqrt[]{\frac{1-\cos 150\degree}{2}}$$ .

Find the exact value of $$\sin(75\degree)$$ using a Sum or Difference formula.

The exact value is $$\frac{\sqrt{2} + \sqrt{6}}{4}$$ .

What is the definition of secant?

The secant of an angle is the reciprocal of the cosine, defined as $$\sec(\theta) = \frac{1}{\cos(\theta)}$$ .

What is the definition of tangent?

The tangent of an angle is the ratio of the opposite side to the adjacent side in a right triangle, or $$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$$ .

What is the double angle formula for sine?

The double angle formula for sine is $$\sin(2\theta) = 2\sin(\theta)\cos(\theta)$$ .

What is the sum formula for sine?

The sum formula for sine is $$\sin(a + b) = \sin(a)\cos(b) + \cos(a)\sin(b)$$ .

What is the difference formula for sine?

The difference formula for sine is $$\sin(a - b) = \sin(a)\cos(b) - \cos(a)\sin(b)$$ .

What is the relationship between sine and cosine?

Sine and cosine are cofunctions: $$\sin(\theta) = \cos(90\degree - \theta)$$ .

What is the definition of cosecant?

The cosecant of an angle is the reciprocal of the sine, defined as $$\csc(\theta) = \frac{1}{\sin(\theta)}$$ .

What is the relationship between tangent and cotangent?

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

Precalculus Laws and Trig Identities Honors Reassessment 24-25 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of cotangent?

Back

The cotangent of an angle is the ratio of the adjacent side to the opposite side in a right triangle, or cot(θ) = 1/tan(θ).

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What is the value of angle Z if the answer is 71.232 degrees?

Back

Angle Z is 71.232 degrees.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the Pythagorean identity for sine and cosine?

Back

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