## Problem 547

Find the slope of the line through the points (5, -2) and (0, 2).

Solution:-

Use the slope formula

## Problem 546

Which of the following graphs represents a phase shift of  90̊ to the left of the parent graph of

f(x) = sin x?

Solution:-

Graph the transformations of the given trigonometric function

## Problem 545

Which of the following graphs represents a period of  of the parent graph of  f(x) = six x ?

Solution:-

Graph the transformations of the given trigonometric function.

## Problem 544

Which of the following graphs represents a period of  4π for the parent graph of  f(x) = sin x ?.

Solution:-

Graph the transformations of the given trigonometric function.

## Problem 543

Which of the following graphs represents a vertical shift down 1 of the parent graph of  f(x) = sin x?

Solution:-

Graph the transformations of the given trigonometric function.

## Problem 542

Which of the following graphs represents a vertical shift up 1 of the parent graph of f(x) = six x ?.

Solution:-

Graph the transformations of the given trigonometric function.

## Problem 541

The function f(x) = 6 sin x contains which type of transformation or change to its parent graph?

Solution:-

A coefficient in front of the function represents a vertical shift or change in amplitude.

## Problem 540

Find the cosine of 90°.

Solution:-

The coordinate at 90° is (0, 1). The cosine represents the x-coordinate of the ordered pair. Therefore, the cosine of 90° is 0.

## Problem 539

Explain the meaning of SOH of the mnemonic device SOH-CAH-TOA.

Solution:-

The mnemonic device of SOH-CAH-TOA represents the trigonometric ratios for the sine, cosine, and tangent functions. The sine of an angle is equal to the opposite side divided by the hypotenuse.

## Problem 538

Write 85.847° in degrees, minutes, and seconds.

Solution:-

Step 1: Calculate the minutes. Multiply the decimal portion of the given angle by 60. Step 2: Calculate the seconds. Then multiply the remaining decimal from Step 1 by 60.