Trigonometry
The Trigonometry category starts with the fundamentals of trigonometry, Pythagoras’ theorem, sine, cosine & tangent, solving for the sides & angles in triangles. Lessons follow on solving word problems, laws of cosines & sines, inverse trig ratios – secant, cosecant and cotangent, trigonometry on the coordinate plane, solving trig equations, radian measure, the unit circle, sine, cosine & tangent graphs amplitude & period, horizontal phase shift & vertical displacement, graphing the sine, cosine & tangent functions, proving trig identities, sum & difference & double angle identities and solving second degree trig equations.
Basic Trigonometry Part I
This lesson is for the beginning trigonometry student or for anyone who has not recently studied trigonometry. It includes a review of triangles, the Pythagorean theorem, the 3 primary trig ratios (Sine, Cosine and Tangent), and finding unknown sides and
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Solving Word Problems Using Sine Cosine and Tangent
This lesson is an opportunity to use the skills learned in Lesson #300 Basic Trigonometry Part I by solving word problems using the 3 primary Trig ratios sine, cosine and tangent (sin cos and tan).
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Law of Cosines Law of Sines Plus Ambiguous Case & Their Applicat
This lesson begins with solving oblique triangles using the Law of Cosines and then moves on to solving oblique triangles using the Law of Sines, including the Ambiguous Case of the Law of Sines.
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Basic Trigonometry Part II
This lesson continues on from lesson 305 and deals with the three reciprocal trigonometric ratios, cosecant, secant and cotangent. Special angles and exact values are also covered in this lesson.
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Trigonometry on the Coordinate Plane
This lesson begins with angles in standard position, co terminal angles and principal angles. The six trigonometric ratios are defined for an angle in standard position and the CAST rule is introduced. The lesson concludes with finding reference angles.
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Solving First Degree Trig Equations in Degrees
The main focus of this lesson is solving first degree trigonometric equations algebraically. Solving equations using graphing technology is also covered in this lesson. Equations involving sine, cosine, tangent, cosecant, secant and cotangent are solved a
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Radian Measure Arc Length & Solving First Degree Trig Equations
This lesson introduces radian measure. Work is done on changing from degrees to radians and from radians to degrees. The formula for arc length a = r θ is also introduced in this lesson. The main focus of this lesson is solving first degree trig equations
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The Unit Circle (Using Special Angles in Degrees & Radians)
This lesson is the study of the unit circle (a circle with the radius of one unit). It begins with finding exact values using quadrantal angles and then moves on to special angles of pi/4 radians (45º), pi/6 radians (30º), pi/3 radians (60º) and their rel
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Basic Sine, Cosine and Tangent Graphs, Changes in Amplitude & Pe
This lesson studies the basic sine, cosine, and tangent graphs. Using these basic graphs, we find the x-intercepts, y-intercept, domain and range. The lesson moves on to finding the amplitude of the sine & cosine graphs by studying the vertical stretch fa
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Horizontal Shift & Vertical Displacement of Sine & Cosine Functi
This lesson follows Lesson 340 Basic Sine, Cosine & Tangent Graphs, Changes in Amplitude & Period The first part of this lesson deals with the affects of ‘c’ (the horizontal phase shift) and ‘d’’ (the vertical displacement). The next part of this lesso
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Simplifying Trig Expressions & Proving Trig Identities
This lesson begins with simplifying trig expressions. The trig reciprocal identities, trig quotient identities trig Pythagorean identities are used in the simplifying process as well as algebra skills such as finding a common denominator, multiplying and
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Sum & Difference Identities and Double Angle Identities
The main focus of this lesson is the four Sum and difference Identities for sine & cosine:
sin (A+B)
sin (A-B)
cos (A+B)
cos (A-B)
This lesson then moves on to the two Double Angle Identities for sine & cosine:
sin (2A)
cos (2A)
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Solving Trig Equations (2nd Degree, Using Identities, Multiple A
The main focus of this lesson is solving 2nd degree trigonometric equations both algebraically and graphically. Methods of using the graphing technology are also covered in this lesson. Second degree equations are solved taking square root, factoring, u
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