Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Answer:
rate of change is -3
A = (9 - 0) / (0 - 3) = 9 / -3 = -3
Step-by-step explanation:
Answer:
A 2-column table with 6 rows. Column 1 is labeled x with entries 1.99, 1.999, 1.9999, 2.0001, 2.001, 2.01. Column 2 is labeled f (x) with entries 0.505, negative 0.827, 0.306, negative 0.306, 0.827, negative 0.506.
Find Limit of f (x) as x approaches 2 f(x), if it exists.
2
0.3
0
DNE
Step-by-step explanation:
Answer: The answer would be C.
Step-by-step explanation:
Explanation : Enzo has 7 pesos, and a ballpoint pen is 2 pesos + an additional 2 pesos, he spent 4, now we have 3 left. A notebook is 3 pesos - a single peso, he just spend 2 more pesos leaving him with only 1 peso left. The crayons cost 2 pesos - a single peso which means he used his remaining peso, 4 + 2 + 1 = 7.
