Functions of angles, I need help

The Third Choice

Step-by-step explanation:

In this question, we have to compare the sine of angle A and the cosine of angle B. As a review, the sine function is

and the cosine function is

.

For angle A, side BC is the opposite side, while side AB is the hypotenuse. [The hypotenuse of a right triangle is the side that is opposite to the 90 degree angle. In this case, AB is the hypotenuse because it is opposite of angle C, which measures 90 degrees.]

Now, we can determine the sine of angle A.

.

For angle B, side BC is the adjacent side, while side AB is the hypotenuse.

Using this information, we can determine the cosine of angle B.

As we can see, both the sine of angle A and the cosine of angle B have the same value. In other words, they are equal to each other. Therefore, the correct answer is the third choice.

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36