Question

(cos Θ − cos Θ)2 + (cos Θ + cos Θ)2

sin2 Θ
4cos2 Θ
8
cos2 Θ

Answer 1

@JoannaBlackwelder Do you know how to solve?

Answer 2

@MathStudent420

Answer 3

the first one cancels costheta -costheta=0
\[(\cos \theta +\cos \theta)^2=(2\cos \theta)^2=4\cos^2 \theta\]

Answer 4

That is what I had! Ugh feels great to be right. Canyou help with one more?

Answer 5

f(x) = 2 sin(2x − π) + 2 g(x)

graph of a quadratic with points at 1, 2 and 3, negative 2 and 5, 2 h(x)

x y
−2 10
−1 7
0 5
1 3
2 5
3 7
4 10


Which function has the smallest minimum?
All three functions have the same minimum
f(x)
g(x)
h(x)

Answer 6

hmm the first has minimum whenever 2sin(2x-pi)+2=-1
the second do you mean points (1,2) (3,-2) (5,2)?
the third has minimum at x=1 which is 3

Answer 7

It's a parabola on a graph.

Answer 8

first you would have to solve to find where exactly the min occurs

Answer 9

The bottom of the parabola which is at -2

Answer 10

-2 would be the minimum
the way you wrote it is not good that's why i'm asking
you should write ordered pairs (x,y) like this

Answer 11

It is a chart, hold on let me send u a picture of it

Answer 12

solve the first one to get the min

Answer 13

\[2\sin (2x-\pi)+2=-1 \]

Answer 14

That is the graph they give

Answer 15

yeah the min for that is -2

Answer 16

and for h(x) it is -2 as well

Answer 17

no it is 3 according to that table

Answer 18

oh ok the smallest is g(x)???? Because we have -1,-2, and 3

Answer 19

hmm no the first is not -1
you have to solve to see where that occurs

Answer 20

do you know how to solve such equations?

Answer 21

no I dont think so

Answer 22

is this calculus based question
+ how come you don't know how to solve equations that involve trigonometry?
it is part of algebra 1 or so

Answer 23

Algebra 2

Answer 24

I forgot how to solve it!

Answer 25

will look for how to do it then

Answer 26

well*1

Answer 27

i believe you are given in notes how to deal with sins and cosine and how to get min and max

Answer 28

We are. Is the answer on the graph -3.3?

Answer 29

given \[f(x)=A\sin(Bx-C)+D\]
the min is D-|A|
in our example \[f(x)=2\sin(2x-\pi)+2\]
the min is 2-2=0

Answer 30

So g(x) is still the answer?

Answer 31

yeah

Answer 32

Thanks so much for your help

Answer 33

np