Example 21 - Solve cos x = 1/2 - Trigonometric Functions CBSE

Example 21 - Chapter 3 Class 11 Trigonometric Functions - Part 2

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Question 4 Solve cos š‘„ = 1/2 Let cos x = cos y Given cos x = 1/2 From (1) and (2) cos y = 1/2 cos y = cos šœ‹/3 y = šœ‹/3 Rough We know that cos 60° = 1/2 So, 60° = 60 Ɨ Ļ€/180 = Ļ€/3 Since cos x = cos y General Solution is x = 2nĻ€ ± y where n ∈ Z Putting y = šœ‹/3 x = 2nĻ€ Ā±š…/šŸ‘ where n ∈ Z

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