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:

And we can subtract 4x in both sides and we got:

Now we can subtract in both sides 16 and we got:

And if we divide both sides by 4 we got:

And the best solution would be:
-7
Step-by-step explanation:
For this case we assume the following equation:

And we can subtract 4x in both sides and we got:

Now we can subtract in both sides 16 and we got:

And if we divide both sides by 4 we got:

And the best solution would be:
-7
For the conjecture to be true, the square of all real numbers must be positive or zero.
The square of all negative and positive numbers is positive, and the square of zero is zero, so the conjecture is true.
Answer:
Albert Einstein
Step-by-step explanation: