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.
Hello!
To solve this we can use the Pythagorean Theorem, a²+b²=c², where a and b represent the legs and c represents the hypotenuse. We will solve below.
1²+3²=c²
1+9=10
We have 10=c². We can isolate c by finding the square root of 10.
√10≈3.16
Therefore, the other side could be 3.16.
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Note that 3 could also be the hypotenuse. We could solve the equation the other way around to see what the other side could be (it could be the hypotenuse or a leg).
9-1=8
√8≈2.83
Therefore, the length of the third side could be either 3.16 or 2.83.
I hope this helps!
Answer:
1,3 a square = 1,9 b. Yes orthogonal
You need to add your two factors so 6 + 5 = 11. t is your hours. d = 11t....
The washer is d = 11t
Answer:
the remaining two vertices must be (4, -7) and (10, -7).
Step-by-step explanation:
The vertices (4, 5) and (10, 5) lie on the same horizontal line, y = 5. The length of the rectangle is the difference between the two x-coordinates: 10 - 4, or 6.
Let's denote 6 as the width. Then the length is twice that, or 12.
Then the remaining two vertices must be (4, -7) and (10, -7).
Check: is the width 6? Does 10 - 4 equal 6? Yes
Is the length twice the width, or 12? Does 5 - (-7) = 12? YES