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Unit circle
A circle centered at the origin with radius 1 (i.e. this circle) is called as unit circle. The unit circle is very useful in Trigonometry.
(b) x2+ ( y - 3)2 = 4
In this part, it looks as the x coordinate of the center is zero as with the earlier part. However, this time there is something more with the y term and thus comparing this term to the standard form of the circle we can see that the y coordinate of the center have to be 3. The center & radius of this circle is then,
center = (0, 3) radius = √4 = 2
Following is a sketch of the circle. The center is marked alongwith a red cross in this graph.
What is Angle Pairs? Two angles are adjacent angles if they have the same vertex and share one side. Vertical angles are a pair of nonadjacent angles formed by two intersecting
4/x+4-3/x+3=2/x+2-1/x+1
Recently I had an insight regarding the difference between squares of sequential whole numbers and the sum of those two whole numbers. I quickly realized the following: x + (x+1)
Polar to Cartesian Conversion Formulas x = r cos Θ y = r sin Θ Converting from Cartesian is more or less easy. Let's first notice the subsequent. x 2 + y 2 = (r co
All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]
Explain angle pairs ? Adjacent angle pairs Two angles are adjacent if they: 1. Have the same vertex. 2. Share a common side. 3. Have no interior points in common. Definit
Using the same mean and standard deviation from problem 10 (mean m = 20.1 and a standard deviation s = 5.8). Joe was informed that he scored at the 68 th percentile on the ACT, wh
If the p th , q th & r th term of an AP is x, y and z respectively, show that x(q-r) + y(r-p) + z(p-q) = 0 Ans: p th term ⇒ x = A + (p-1) D q th term ⇒ y = A + (
Justin earned scores of 85, 92, and 95 on his science tests. What does he required to earn on his further science test to have an average (arithmetic mean) of 93%? To earn an a
Change in origin and scale method
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