1 ) cot x * sin x = cos x
(cos x / sin x) * sin x = cos x
cos x = cos x
Answer: B ) cot x = cos x / sin x
2 ) ( sin² x + cos² x ) / cos x = sec x
1/cos x = sec x
sec x = sec x
Answer: C ) cos² x + sin² x = 1

3 0

3 years ago

The radius of a circle is 1 foot. What is the length of a 45 degree arc

Elodia [21]

Circumference = 2 x PI x r
circumference = 3.14 x 2 x 12 inches = 75.36 inches

45/360 = 0.125

75.36 * 0.125 = 9.42 inches

7 0

3 years ago

Which expression represents the area of the shaded region?

irina1246 [14]

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

$A_1=\pi r^2$

Where, r is the radius of the circle.

Area of a square is:

$Area=a^2$

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

$a=2a$

So, the area of the square is:

$A_2=(2r)^2$

$A_2=4r^2$

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

$A=A_2-A_1$

$A=4r^2-\pi r^2$

$A=r^2(4-\pi )$

Therefore, the correct option is (a).

5 0

3 years ago