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If `Cos Theta = 2/3 , " Write the Value Of" (4+4 Tan^2 Theta).` - Mathematics

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Question

If `cos theta = 2/3 , " write the value of" (4+4 tan^2 theta).`

Solution

`4+4 tan^2 theta `

        = `4(1+ tan ^2 theta)`

         =`4 sec^2 theta `

          =`4/ cos^2 theta`

          =`4/(2/3)^2`

          =`4/((4/9))`

          =`(4xx9)/4`

           =9

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Chapter 8: Trigonometric Identities - Exercises 3

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RS Aggarwal Mathematics [English] Class 10
Chapter 8 Trigonometric Identities
Exercises 3 | Q 17

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