Compound angle functions

Trigonometry concepts part 3, maxima (or minima) of Trigonometric expressions

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Trigonometric functions behave not exactly like common algebraic variables, and so maximizing or minimizing an expression of trigonometric terms requires first conversion of the expression to a single function expression. Frequently the rich algebraic concept of AM GM inequality also comes handy for solving such problems...

SSC CGL Tier II level Solution Set 7, Trigonometry 1

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This is the 7th solution set of 10 practice problem exercise for SSC CGL Tier II exam and 1st on topic Trigonometry. Students should complete the corresponding question exercise in prescribed time first and then only refer to this solution set. Some of these 10 questions may seem to be difficult at first glance...

SSC CGL Tier II level Solution Set 4, Geometry 1

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This is the 4th solution set of 10 practice problem exercise for SSC CGL Tier II exam and the 1st on topic Geometry. For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, techniques and deductive reasoning elaborated through these solutions, one must solve many problems in a systematic manner using this conceptual analytical approach. One can learn well only by practicing learning by doing...

Basic and rich Trigonometry concepts part 2, proof of compound angle functions

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Trigonometry first established relationships between the angle and side measurements of a right angled triangle by defining trigonometric functions and thus extended the reach of mathematics wonderfully. Like any other branch of mathematics, from the basic trigonometric function definitions more advanced function relations are built stage by stage. Here we will deal with compound angle trigonometric function relations in more details...

Basic and rich Trigonometry concepts and its applications

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Trigonometry first established relationships between the angle and side measurements of a right angled triangle by defining trigonometric functions and thus extended the reach of mathematics wonderfully. At first look we may not find much application of trigonometry in real world, but one must consider, the modern civilization is based on the sinusoidal frequencies that are nothing but trigonometric functions...

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