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:
C. 5^8
to raise a power to another power, multiply the exponents
then multiply thr numbers
then u get 5^8
Answer:
1) 2=27
2) x= -11/2
3) no
Step-by-step explanation:
Answer:
4x +5y = 10
Step-by-step explanation:
Standard form of an equation is Ax +By = C
y=-4/5x+2
Add 4/5 x to each side
4/5 x +y=-4/5x+ 4/5x+2
4/5 x + y = 2
Now we don't have fractions in A ,B or C
So Multiply by 5
5(4/5 x + y) = 2*5
Distribute
4x +5y = 10
