Answer:
12
Step-by-step explanation:
Your answer is 12. I hope this helps!!!
Answer:
x
Step-by-step explanation:
The first thing you have to do is order them least to greatest. Once that is done you need to find your first, second and third quartile. to find them is simple. You have to find the median of the data set. Then from the number on either side of the median you have to find the median of this data sets. The median of the entire set is your second quartile then the medium to the left is your first and the median to your right is the third quartile. For the number line you need to make numbers that are appropriate for the number range. Then place your least number, the first, second, and third quartile, then place your greatest number. then draw a line up from the median and the first and third quartile and create a box.
Recall some identities:
tan(x) = sin(x) / cos(x)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
cos(x - y) = cos(x) cos(y) + sin(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
This means we have
• cos²(90° - x) = [cos(90°) cos(x) + sin(90°) sin(x)]²
… = sin²(x)
• tan(180° - x) = sin(180° - x) / cos(180° - x)
… = [sin(180°) cos(x) - cos(180°) sin(x)] / [cos(180°) cos(x) + sin(180°) sin(x)]
… = sin(x) / (-cos(x))
… = -tan(x)
(and we also get sin(180° - x) = sin(x))
• cos(180° + x) = cos(180°) cos(x) - sin(180°) sin(x)
… = -cos(x)
So, the given expression reduces to
sin²(x) (-tan(x)) (-cos(x)) / sin(x) = sin²(x)
since tan(x) and cos(x)/sin(x) = 1/tan(x) will cancel.
Answer:
b
Step-by-step explanation:
