(cos(x) + cos(y))^2 + (sin(x) - sin(y))^2 Remove the brackets
cos^2(x) + cos^2(y) + 2cos(x)*cos(y) + sin^2(x) - 2(sin(x)*sin(y) + sin^2(y) Combine these two in bold to make 1 because sin^2(x) + cos^2(x) = 1
1 + cos^2(y) + 2cos(x)*cos(y) - 2*sin(x)*cos(y) + sin^2(y)
These two in bold also make 1
2 + 2cos(x)*cos(y) - 2*sin(X)*sin(y) Bring out a common factor of 2
2 +2(cos(x)*cos(y) - sin(x)*sin(y) )
but cos(x+y ) = cos(x)*cos(y) - sin(x)*sin(y)
2 + 2* cos(x + y) is your final answer.
The area of the shaded sector must be 144π units².
<h3>What is the area of the circle?</h3>
The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = 
We know that the angle measurement of central angle QRS is less than π radians.
for r = 18 units
The area of the circle = π18² = 324π units²
The area of the half of a circle = 324π /2 = 162π units²
The area of a quarter of a circle = 324π /4 = 81π units²
so
The area of the shaded sector < 162π units²
and
The area of the shaded sector > 81π units²
Hence the answer must be 144π units²
Learn more about angles;
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You need to combine like terms.
it should be:
12ibs-7ibs-5oz-10z
5ibs-(-5oz)
Answer:
Option B will be the correct one.
Step-by-step explanation:
The factor of a polynomial, y = f(x) is obtained by making f(c) = 0 and then solving the equation f(c) = 0 for c and then from the obtained value of c we say (x - c) is a factor of the polynomial y = f(x).
Now, on the reverse, the term (x - a) will be a factor of a polynomial, y = f(x), if and only if f(a) = 0.
Therefore, option B will be the correct one. (Answer)
Answer:
No solutions found
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve ac-36 = 0
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
a*c-(36)=0
Hope this helps.
