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OLga [1]
2 years ago
10

1.Do you think a similar rule is true for cosine? That is, does –cos(θ) = cos(–θ)? Pick a value of θ and test this theory.

Mathematics
1 answer:
adell [148]2 years ago
7 0
1.Do you think a similar rule is true for cosine? That is, does -cos (θ) = cos (-θ)? Pick a value of θ and test this theory.

 It is not the same.
 To prove it, let's choose a value of the angle:
 θ = 45 degrees:
 -cos (θ) = cos (-θ)
 -cos (45) = cos (-45)
 - (root (2) / 2) = (root (2) / 2)
 answer:
 NOT fulfilled: -cos (θ) = cos (-θ) (false)

 2. Using your example above, speculate on a rule that might be true for cos (-θ). 
 cos (θ) = cos (-θ)
 To prove it, let's choose a value of the angle:
 θ = 45 degrees:
 cos (θ) = cos (-θ)
 cos (45) = cos (-45)
 (root (2) / 2) = (root (2) / 2)
 answer
 A rule for cosine can be:
 cos (θ) = cos (-θ)
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3(2x-1)=5x+3+7x I do t get this cause I’m stupid
DiKsa [7]

Answer:

x = -1

Step-by-step explanation:

Solve for x:

3 (2 x - 1) = 7 x + 5 x + 3

Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:

3 (2 x - 1) = (5 x + 7 x) + 3

5 x + 7 x = 12 x:

3 (2 x - 1) = 12 x + 3

Expand out terms of the left hand side:

6 x - 3 = 12 x + 3

Subtract 12 x from both sides:

(6 x - 12 x) - 3 = (12 x - 12 x) + 3

6 x - 12 x = -6 x:

-6 x - 3 = (12 x - 12 x) + 3

12 x - 12 x = 0:

-6 x - 3 = 3

Add 3 to both sides:

(3 - 3) - 6 x = 3 + 3

3 - 3 = 0:

-6 x = 3 + 3

3 + 3 = 6:

-6 x = 6

Divide both sides of -6 x = 6 by -6:

(-6 x)/(-6) = 6/(-6)

(-6)/(-6) = 1:

x = 6/(-6)

The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):

x = 1/(-1)

1/(-1) = -1:

Answer: x = -1

7 0
3 years ago
What is 5 times 5 because i had got it wrong
sergiy2304 [10]

Answer:

25

Step-by-step explanation:

8 0
2 years ago
You get paid $82.50 for working 7 and a half hours why is your rate of pay
Colt1911 [192]
To find the rate of pay, first divide 82.50/7.5 to equal $11/hour.

Your rate of pay is $11 per hour.

Hope this helps!!
6 0
2 years ago
The answer please answer
strojnjashka [21]
Separate the shape in to separate rectangles

Then Separately find the areas of the rectangles

Answer will be the sum of all areas

Which = d) 109
5 0
3 years ago
A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground. Write the equ
Anastaziya [24]
A] <span>A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground. 
the point slope equation will be given as follows:
y-y1=m(x-x1)
where:
slope,m=2 ft/sec
(x1,y1)=(3,67)
thus plugging in the values in the formula, we obtain the point slope equation as follow:
y-67=2(x-3)

Answer:
</span>y-67=2(x-3)

b]The height of the plane after 8 seconds will be:
x=8 sec
but:
y-67=2(x-3)
substituting x=8 we get:
y-67=2(8-3)
y-67=2(5)
y=10+67
y=77
thus the height after 8 seconds is 77 ft
4 0
3 years ago
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