Math 4 Unit 4 TEST

Front

What is the amplitude of a cosine function?

Back

The amplitude of a cosine function is the maximum distance from the midline of the graph to its peak. For f(x) = A cos(x), the amplitude is |A|.

Front

What is the value of sin 30 degrees?

Back

sin 30 degrees = 1/2.

Front

How do you find the value of x in a trigonometric equation?

Back

To find the value of x, isolate x using algebraic methods and apply inverse trigonometric functions if necessary.

Front

What is the length of the sides in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of a leg.

Front

What is the equation of a sine function?

Back

The general form of a sine function is y = A sin(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

What is the period of the function y = sin x?

Back

The period of y = sin x is 2π.

Front

How do you determine the phase shift of a sine function?

Back

The phase shift can be determined from the equation y = A sin(B(x - C)) + D, where C/B gives the phase shift.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are co-functions: sin(x) = cos(90° - x) and cos(x) = sin(90° - x).

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity states that sin²(x) + cos²(x) = 1.

Front

How do you calculate the amplitude of a function like f(x) = -3cos x?

Back

The amplitude is the absolute value of the coefficient of the cosine function, so for f(x) = -3cos x, the amplitude is 3.