Strand Secondary - Trigonometry
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A Northern Light Circle Problem
		In this note Gregory describes a problem involving Dasher and Dancer moving around a Northern Light Circle.
		AUTHOR(S): Gregory V. Akulov
A Trig Exercise Inspired by the Use of a Graphing Calculator. (HTML or PDF)
		An example of a problem in algebra or trigonometry that is motivated by an exercise with a graphing calculator. The graph leads to an exercise with a trigonometric identity.
		AUTHOR(S): Rick Seaman
An Arc Midpoint Computation Lesson
		In this note the authors give an expression for locating the midpoint of a circular arc and a calculator for determining the midpoint.
		AUTHOR(S): Gregory V. Akulov and Oleksandr (Alex) G. Akulov
An Arc Midpoint Computation Proof
		In this note the authors give an proof of the expression for locating the midpoint of a circular arc that was given in his note with Gregory V. Akulov.
		AUTHOR(S): Oleksandr (Alex) G. Akulov
Arc Midpoint Algorithm
		Gregory and Oleksandr have built on the arc midpoint resource and the proof of the arc midpoint formula by constructing an algorithm for finding the coordinates of the midpoint. It is hoped that teachers of high school Mathematics and Computer Science will use these resources to enrich the teaching and learning in both subject areas.
		AUTHOR(S): Oleksandr G. Akulov and Gregory V. Akulov
Arc Midpoint Computation Amplified by … Gravitation
		Gregory and Oleksandr use their Arc Midpoint Computation approach to solve a problem concerning gravitational potential energy and then challenge the reader to solve the same problem using an alternative approach.
		AUTHOR(S): Gregory V. Akulov and Oleksandr G. Akulov
Arc Midpoint Computation Welcomes Trig Interpretation
		Gregory and Oleksandr extend their arc midpoint computation to determine the midpoint of a section of a sine curve.
		AUTHOR(S): Gregory V. Akulov and Oleksandr G. Akulov
Arc's Midpoint Turns Kinetic, Adds Applied to Theoretic...
		Gregory finds another application of his arc midpoint computation, this time to the kinetic energy of an object moving along a semicircle.
		AUTHOR(S): Gregory V. Akulov
Chalking out Some Geometry from a Bit of Trigonometry
		Oleksandr and Gregory extend interpretations of non-piecewise identities for sin^(-1)x+ sin^(-1)y and cos^(-1)x+ cos^(-1)y using several Euclidean geometry statements and illustrations.
		AUTHOR(S): Oleksandr G. Akulov and Gregory V. Akulov
Complex Numbers
		This note is a response to a teacher's request for an explaination of i squared and the square root of i that would be appropriate for secondary level students.
		AUTHOR(S): Harley Weston
Deriving the Slopes of the Angle Bisectors
		In this note Gregory uses a trig identity to develop an expression for the slopes of the angle bisectors of two lines in terms of the slopes of the lines that form the angle.
		AUTHOR(S): Gregory V. Akulov
Diamond Slopes and Speedy Whales via… One Identity
		A trigonometric identity is used to develop a formula for the slope of a rhombus diagonal. This expression is then used to find the velocity of a whale.
		AUTHOR(S): Gregory V. Akulov and Oleksii V. Akulov
Further Properties Assigned to arcsine and arccosine
		Gregory and Oleksandr find more compact and efficient ways to express some identities involving arcsine and arccosine that appear in the Handbook of Mathematics. The expression Gregory and Oleksandr found was used to derive their arc midpoint computation.
		AUTHOR(S): Gregory V. Akulov and Oleksandr G. Akulov
Helen's Ride
		In this note Gregory uses his Arc Midpoint Computation formula to devise a problem regarding riding a bicycle around the University of Victoria campus.
		AUTHOR(S): Gregory V Akulov
Puzzle Brings... Olympic Rings
		Gregory poses a challenge problem involving the Olympic Rings.
		AUTHOR(S): Gregory V. Akulov

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