Math 3 -Test no. 5: Sine and Cosine

Front

What is the sine function?

Back

The sine function, denoted as sin(x), is a trigonometric function that represents the ratio of the length of the opposite side to the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function, denoted as cos(x), is a trigonometric function that represents the ratio of the length of the adjacent side to the hypotenuse in a right triangle.

Front

What is the period of the sine and cosine functions?

Back

The period of the sine and cosine functions is the length of one complete cycle of the wave, calculated as 2π/B, where B is the frequency.

Front

What is the range of the sine function?

Back

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

Front

What is the range of the cosine function?

Back

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

Front

How do you find the sine of an angle on the unit circle?

Back

The sine of an angle on the unit circle is equal to the y-coordinate of the corresponding point on the circle.

Front

How do you find the cosine of an angle on the unit circle?

Back

The cosine of an angle on the unit circle is equal to the x-coordinate of the corresponding point on the circle.

Front

What quadrant is 145 degrees in?

Back

145 degrees is in the second quadrant (Quadrant II).

Front

What is the amplitude of the function f(x) = 3 sin x?

Back

The amplitude of the function f(x) = 3 sin x is 3.

Front

What is the effect of changing the coefficient in front of the sine function?

Back

Changing the coefficient in front of the sine function affects the amplitude of the graph.