What is the Pythagorean identity?

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

What is the Law of Sines?

The Law of Sines states that $$\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}$$ for a triangle with sides a, b, c and angles A, B, C.

What is the Law of Cosines?

The Law of Cosines states that $$c^2 = a^2 + b^2 - 2ab \cos(C)$$ for a triangle with sides a, b, c and angle C.

How do you find the angle using the inverse trigonometric functions?

To find an angle, use the inverse functions: $$\theta = \sin^{-1}(y)$$ , $$\theta = \cos^{-1}(x)$$ , or $$\theta = \tan^{-1}(\frac{y}{x})$$ .

What is the range of the sine function?

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

What is the range of the cosine function?

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

What is the range of the tangent function?

The range of the tangent function is all real numbers.

How do you graph the sine function?

The sine function is graphed as a wave that oscillates between -1 and 1, starting at (0,0) and repeating every $$2\pi$$ radians.

How do you graph the cosine function?

The cosine function is graphed as a wave that oscillates between -1 and 1, starting at (0,1) and repeating every $$2\pi$$ radians.

Lesson 20 Trigonometry Review Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

Tags

CCSS.HSG.SRT.C.7

2.

FLASHCARD QUESTION

Front

What are the primary trigonometric functions?

Back

The primary trigonometric functions are sine (sin), cosine (cos), and tangent (tan).

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

How do you convert degrees to radians?

Back

Tags

CCSS.HSF.TF.A.1

4.

FLASHCARD QUESTION

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

Tags

CCSS.HSF.TF.A.2

5.

FLASHCARD QUESTION

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

7.

FLASHCARD QUESTION

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

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