11pi/12 = pi - pi/12
cos(11pi/12) = cos(pi - pi/12)
cos(a-b) = cos(a)cos(b)+sin(a)sin(b)
cos(pi -pi/12) = cos(pi)cos(pi/12) + sin(pi)sin(pi/12)
sin(pi)=0
cos(pi)=-1
Therefore, cos(pi -pi/12) = -cos(pi/12)
pi/12=pi/3 -pi/4
cos(pi/12) = cos(pi/3 - pi/4)
= cos(pi/3)cos(pi/4)+sin(pi/3) sin(pi/4)
cos(pi/3)=1/2
sin(pi/3)=sqrt(3)/2
cos(pi/4)= sqrt(2)/2
sin(pi/4) = sqrt(2)/2
cos(pi/3)cos(pi/4)+sin(pi/3) sin(pi/4)
= (1/2)(sqrt(2)/2 ) + (sqrt(3)/2)( sqrt(2)/2)
= sqrt(2)/4 + sqrt(6) /4
= [sqrt(2)+sqrt(6)] /4
Therefore, cos(pi/12) = (sqrt(2)+sqrt(6))/4
-cos(pi/12) = -(sqrt(2)+sqrt(6))/4
cos(11pi/12) = -(sqrt(2)+sqrt(6))/4
Beacause with a formula you are finding out a problem. Just like evaluating means to find out or to solve.
You can start by using the formula for the difference of two squares. Actually, after that I don't think you can factor it any further.
To factorise ( x^2 - 49 ), you can recognize it as a difference of squares. This expression can be rewritten as ( (x)^2 - (7)^2 ). Using the difference of squares formula, ( a^2 - b^2 = (a - b)(a + b) ), we factor it as ( (x - 7)(x + 7) ).
Express the cosecant in terms of sines and cosines; in this case, csc x = 1 / sin x. This can also be written as (sin x)-1. Remember that the derivative of sin x is cos x, and use either the formula for the derivative of a quotient (using the first expression), or the formula for the derivative of a power (using the second expression).
The expression (9y^2 - 49) is a difference of squares, which can be factored using the formula (a^2 - b^2 = (a - b)(a + b)). Here, (9y^2) is ( (3y)^2) and (49) is (7^2). Therefore, the factored form is ((3y - 7)(3y + 7)).
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Beacause with a formula you are finding out a problem. Just like evaluating means to find out or to solve.
You can start by using the formula for the difference of two squares. Actually, after that I don't think you can factor it any further.
To factorise ( x^2 - 49 ), you can recognize it as a difference of squares. This expression can be rewritten as ( (x)^2 - (7)^2 ). Using the difference of squares formula, ( a^2 - b^2 = (a - b)(a + b) ), we factor it as ( (x - 7)(x + 7) ).
The term "verbal expression" in mathematical terms refers to a math phrase or statement that uses words or letters instead of using numbers. An example of this might be "Three divided by two" instead of "3/2."
When copying a formula using absolute cell addressing the formula is left in it's exact stage. No changes are made, not even symbols excluded or included. The formula stays in it's original form. When using relative cell addressing to copy a formula the formula needs to be copied without any types of symbols.
The binomial expression (x+y)^2 can be expanded using the formula x^2 + 2xy + y^2.
The formula for simple (ordinary) interest on a bank deposit is Deposit Amount x Rate x Time (# of days) on Deposit.
determined using the chemical formula of the compound. The chemical formula provides the type and ratio of elements present in a compound. After determining the chemical formula, one can calculate the exact number of atoms of each element in a unit of the compound using stoichiometry.
Express the cosecant in terms of sines and cosines; in this case, csc x = 1 / sin x. This can also be written as (sin x)-1. Remember that the derivative of sin x is cos x, and use either the formula for the derivative of a quotient (using the first expression), or the formula for the derivative of a power (using the second expression).
With great difficulty because it is not a quadratic equation or even a quadratic expression.
To 3 decimal places the numbers are about -1.576 and -11.424 but it's quite possible to find exact their exact values by using the quadratic equation formula