Archive for January, 2015

Problem 547

 

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

 

Solution:-

 

Use the slope formula m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

 

m = \frac{2-(-2)}{0- 5}

 

m =\frac{-4}{5}

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:-

546

 

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:-

545

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:-

544

 

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:-

543

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:-

542

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.

 

85^{\circ}{50}'{49}''