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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:Let fk(x) = kkk1k[sinkx+coskx] where x ∈ R and k ≥ 1. Then f4(x) − f6(x) = - Mathematics

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Question

Choose the correct alternative:
Let fk(x) = `1/"k" [sin^"k" x + cos^"k" x]` where x ∈ R and k ≥ 1. Then f4(x) − f6(x) = 

Options

  • `1/4`

  • `1/12`

  • `1/6`

  • `1/3`

MCQ
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Solution

`1/12`

shaalaa.com
Trigonometric Functions and Their Properties
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Chapter 3: Trigonometry - Exercise 3.12 [Page 150]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.12 | Q 8 | Page 150
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