Recall that
sin²(<em>x</em>) = (1 - cos(2<em>x</em>))/2
so that
sin²(7<em>π</em>/8) = (1 - cos(7<em>π</em>/4))/2
sin²(5<em>π</em>/8) = (1 - cos(5<em>π</em>/4))/2
Then
sin²(7<em>π</em>/8) + sin²(5<em>π</em>/8) = (1 - cos(7<em>π</em>/4) + 1 - cos(5<em>π</em>/4))/2
… = 1 - 1/2 (cos(7<em>π</em>/4) + cos(5<em>π</em>/4))
… = 1 - 1/2 (1/√2 - 1/√2)
… = 1
Answer:
22π
Step-by-step explanation:
The area formula for a sector is

The angle theta is to be the angle that is a part of the sector for which we are trying to find the area. If we are looking for the area of the larger sector, we are not using 140 as our angle theta, we are using 360 - 140 = 220 as our angle theta since that is the angle for the larger of the 2 sectors. Filling in our formula using r = 6:

The easiest way to handle this math is to multiply the 220 by the 36, hit enter on your calculator, then divide that product by 360. When you do that your answer, in terms of pi, is 22π
Step-by-step explanation:
6z=126
z = 126 ÷ 6 = 21
Chris's
z = 756
6z= 126
z = 126 × 6 = 756
correct answer = 21
the number 6 is being multiplied with z.So if the number 6 is going to the right side it will divide the number on the right side.
but for chris he multiplied the number on the right side with 6.So that is the mistake.