TRIGONOMETRIC EQUATIONS - Exercise 3

Find all solutions of the equation tex2html_wrap_inline81 in the interval tex2html_wrap_inline83 .

Solution: We first find all solutions of the related equation tex2html_wrap_inline85 (see Example 1), and find that tex2html_wrap_inline87 and tex2html_wrap_inline89 , tex2html_wrap_inline91 , comprise all the solutions. Hence

displaymath75

from which it follows that

displaymath76

The solution angles A which lie in the interval tex2html_wrap_inline83 are therefore

displaymath77

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