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Maximum and Minimum Value of Trigonometric Identities

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 Maximum and Minimum Value of Trigonometric Identities Type -1 Example -   (1)Find the maximum and Minimum Value of 3 sin  2 x + 4 cos  2 x Sol-  Here the 4> 3 so   Maximum Value = 4 Minimum Value = 3 Example - (2)  Find the maximum and Minimum Value of 5 sin  2 x + 3 cos  2 x Sol - Here 5>3 Maximum Value = 5 Minimum Value = 3 Type -2 Example - (1)  Find the Maximum and Minimum Value of 3 sin x + 4 cos y Sol-  If you find the question of this kind, apply the above formulae. Maximum Value =  √  9 + 16    =  √  25    = 5 Minimum Value = -  √  9 + 16    = -  √  25    =  - 5 (2)  Find the Maximum and Minimum Value of 3 sin x + 2 cos y Sol-  If you find the question of this kind, apply the above formulae. Maximum Value =  √  9 + 4    =...