Please review the sum and difference formulas for the trig functions.
In this case you have the difference between two angles u and v and want to find the cosine of this difference.
Here's the appropriate formula:
cos (a-b) = cos a cos b + sin a sin b
Given that sin u = -9/41, equal to the opp side over the hyp., we must find the length of the adj. side and then u itself.
opp side = - 9
hyp = 4
adj side = sqrt( 18+4) = sqrt(22)
Find the side opp angle v in a similar manner.
Then cos (u-v) = cos u cos v + sin u sin v becomes
= (cos u)(15/17) + (-9/41)(sin v) (where you must find cos u and sin v)
See what you can do, then return and comment here if you need further help. Good luck.
Answer:
x>-2
Step-by-step explanation:
-3x+2<8
Subtract 2 from each side
-3x+2-2<8 -2
-3x < 6
Divide each side by -3. remembering to flip the inequality
-3x/-3 >6/-3
x>-2
Answer:
The surface area of door is 33 680 cm².
Step-by-step explanation:
Given that the surface area of a cuboid which is the 3D of rectangle is :






3.295 kg x 1000g / kg x 1 ounce / 28.3g
116.43 ounces
<u>Answer</u>:
The coordinates of point C' are (4, -2)
<u>here's</u> <u>why</u>:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y). So if we use this information with the problem, the original coordinates, (-4, -2), the new coordinates will be (4, -2).
Hope this helped.