Answer:
Option (2)
Step-by-step explanation:
Step 1.
Step 2.
(cosA - cosB)² + (sinA - sinB)² = [cos(A - B) - 1]² + [sin(A - B) - 0]²
Step 3.
cos²A + cos²B - 2cosAcosB + sin²A + sin²B - 2sinAsinB = cos²(A - B) + 1 - 2cos(A - B) + sin²(A - B)
Step 4.
2 - 2cosAcosB - 2sinAsinB = 1 - 2cos(A - B) + 1
Step 5.
cosAcosB + sinAsinB = cos(A - B)
Therefore, Option (2) will be the answer.
Step-by-step explanation:
y=x(x+3)-1(x+3)
y= x^2+3x-x-3
y=x^2+2x-3
that is the answer
Answer:
Step-by-step explanation:
<u>Logarithms</u>
We need to recall these properties of logarithms:
The equation to solve is:
Applying logarithms:
Applying the exponent property on the left side and the product property on the right side:
Applying the exponent property:
Rearranging:
Factoring:
Solving:
Calculating: