Trig Values Quiz: Trigonometry Table of Values Trigonometry Quiz

What is the period of the cosine function?

For what values of x does tanx increase indefinitely?

Which trigonometric function's graph increases from 0 to 1 as x increases?

In the given table, what is the value of y when x = π?

What does the graph of y = cosx do periodically according to the text?

What happens to tanx as x approaches 2π starting from 0?

What is the period of the cosine function?

In which interval does the graph of y = sinx fall within?

If x represents a variable angle, what are the values of sin(π/3) and cos(π/6)?

Which trigonometric function has a period of π?

What is the value of cos(45°)?

If the graph of y = sinx is shifted 2π units to the right, what does the curve do?

For the angle θ = 45°, what is the value of sin(2θ)?

What is the value of cosθ if sinθ = $\frac{1}{2}$?

If secθ = -3, what is the value of cosθ?

Calculate the value of tan(60°).

What is the value of cot(-45°)?

If sinθ = $-\frac{1}{2}$, find the value of cosecθ.

Graphs of Trigonometric Functions

The period of the sine function is 2π, meaning that the graph will repeat itself every 2π units.
The graph of y = sinx increases and decreases periodically within one unit of the Y-axis.
The graph of y = sinx can be shifted 2π to the left or right, and it will fall back on itself.

Graph of Cosine Function

The period of the cosine function is 2π, meaning that the graph will repeat itself every 2π units.
The graph of y = cosx increases and decreases periodically within one unit of the Y-axis.
The graph of y = cosx can be shifted 2π to the left or right, and it will fall back on itself.

Graph of Tangent Function

The period of the tangent function is π, meaning that the graph will repeat itself every π units.
The graph of y = tanx increases indefinitely as x approaches π/2.
The graph of y = tanx does not exist for x = π/2.

Trigonometric Identities

sin(–θ) = –sinθ
cos(–θ) = cosθ
tan(–θ) = –tanθ

Trigonometric Functions of Special Angles

The trigonometric functions of 0°, 30°, 45°, 60°, and 90° are tabulated in a standard table.
Co-terminal angles have the same values of trigonometric functions.

Solving Trigonometric Equations

To solve trigonometric equations, use the identities and properties of trigonometric functions.
Example: tanθ + tanθ = 2, find the value of tan²θ + tan²θ.
Example: Find the value of cos765° using the periodic nature of the cosine function.

Test your knowledge of trigonometry with this quiz based on a table of values for cosine and sine functions. Explore the relationship between angles, cosine, and sine using the given data points and transformations. Practice plotting graphs and understanding trigonometric identities.