## Archive for January, 2015

## Problem 547

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

**Solution:-**

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Use the slope formula

## 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.

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**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.