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Resolution of fundamental trigonometric inequalities (part 2)


4th case: cos x> cos a (cos x cos a)

For example, when we resolve the inequality we initially found which is a particular solution in the range . Adding ) at the ends of the ranges found, we have the following solution set:

5th case: tg x <tg a (tg x tg a)

For example, when we resolve the inequality we initially found which is a particular solution in the range .

The general solution in IR can be expressed by .

The solution set is therefore:

6th case: tg x> tg a (tg x tg a)
Let's study the latter case by solving the inequality tg x> tg for example.

So in solving the inequality we initially foundwhich is a particular solution in the range .

The general solution in IR can be expressed by

.

The solution set is therefore:

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