Answer:
θ = π n + π/2 for n element Z
Step-by-step explanation:
Solve for θ:
1 + 2 cos(2 θ) + cos^2(2 θ) = 0
Write the left hand side as a square:
(cos(2 θ) + 1)^2 = 0
Take the square root of both sides:
cos(2 θ) + 1 = 0
Subtract 1 from both sides:
cos(2 θ) = -1
Take the inverse cosine of both sides:
2 θ = 2 π n + π for n element Z
Divide both sides by 2:
Answer: θ = π n + π/2 for n element Z
Answer:
3.5 un
Step-by-step explanation:
to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7
this is basically dividing 24.5 by 7
24.5 / 7 = 3.5
that is your answer
To solve this, it is easiest to set up a proportion, letting x represent the number that we don't know.
2/10 = x/5
Now, we can use cross products to simplify this proportion. Cross products sets the products of the numerator and denominator of separate fractions equal to one another. It results in the equation:
(5)(2) = (10)(x)
Let's multiply out these numbers to further simplify the equation.
10 = 10x
Finally, we have to divide both sides by 10, to get our variable x alone
x = 1
Therefore, 2 tenths is equal to 1 fifth.
This means a has a value of 24.
