Part of the value of sin(u) is cut off; I suspect it should be either sin(u) = -5/13 or sin(u) = -12/13, since (5, 12, 13) is a Pythagorean triple. I'll assume -5/13.
Expand the tan expression using the angle sum identities for sin and cos :
tan(u + v) = sin(u + v) / cos(u + v)
tan(u + v) = [sin(u) cos(v) + cos(u) sin(v)] / [cos(u) cos(v) - sin(u) sin(v)]
Since both u and v are in Quadrant III, we know that each of sin(u), cos(u), sin(v), and cos(v) are negative.
Recall that for all x,
cos²(x) + sin²(x) = 1
and it follows that
cos(u) = - √(1 - sin²(u)) = -12/13
sin(v) = - √(1 - cos²(v)) = -3/5
Then putting everything together, we have
tan(u + v)
= [(-5/13) • (-4/5) + (-12/13) • (-3/5)] / [(-12/13) • (-4/5) - (-5/13) • (-3/5)]
= 56/33
(or, if sin(u) = -12/13, then tan(u + v) = -63/16)
Answer:
f (x) = -2x^2 + 12x -18
Step-by-step explanation:
hope this helps
The employer contribution does not get deducted from her paycheck. To find the amount deducted from her check we take 4% of 1305.60 = 0.04(1305.60) = $52.22.
Answer:
http://www.1728.org/compint2.htm
Principal = Total ÷ (1 + Rate) ^ years
Principal = $8,000 / (1.04) ^ 4
Principal = $8,000 / 1.16985856
Principal = 6,838.43
Step-by-step explanation:
Answer:
false
Step-by-step explanation: