for angles with their terminal arm in Quadrant III, sincesine is negative and cosine is negative, tangent is positive. What are the minimum and maximum values that sin a can have? 3. The sine function ranges be
Assume that side c is the hypotenuse of the triangle. The Sine Rule: We have to find the measure of angle A to the nearest degree as well as the sides of the triangle, a and b. To do this, we can use the sine rule and the fac...
Given such a triangle where only SSA is known, the possible number of triangles is no longer limited. We can still use the sine rule with the law of sines to solve for a given side or opposite angles, but there are two possible outcomes. Aidan J The second triangle created here by 's...
How do you write an equation of a line that is parallel to another line that passes through a point? Find the equation of the ellipse given: 1) Foci (0, \pm 5) 2) Vertices (0, \pm 8) What is the sine rule? How can you find the graph of an equation if you know the translat...
As it is shown in the first part of this short essay, duality plus conservation laws allow the violation of Bell’s inequalities for any spatio-temporal separation. To dig deeper into particle dualism, in the second part, a class of models is proposed as a working framework. It encompasses...
For clarity, we will present the equations associated with each rule in their standard economic form but use acronyms when discussing the results. Additionally, the concept of “helicopter money” is represented through the time series for the money supply (M1). Current theory suggests that an ...
A special type of polygon is the regular polygon, in which all angles and all sides are equal. Archimedes considered two regular polygons of n sides: one inscribed within a circle, and the other circumscribed around the same circle. He made use of the fact that the perimeter of the ...
The new theory is probed from various angles. Internal consistency is identified as a criterion and used as an argument in favor of the new area. After a short moment of silence… Nana:: Then let’s do it the way Constance suggested. Constance:: What did I suggest? Nana:: That \(\ov...
Here is the basic idea. Let us call the tubes in “thin tubes”. We can try to group these thin tubes into “fat tubes” of dimension for some intermediate scale ; it is not terribly important for this sketch precisely what intermediate value is chosen here, but one could for instance ...
For Theorem 2, one can take advantage of the fact that the homogeneous equation is preserved under finite difference operators : if solves , then also solves the same equation . This freedom to take finite differences one to selectively eliminate certain one-periodic components of a solution to ...