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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Solve the following equations:cos 2θ = 5+14

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Question

Solve the following equations:
cos 2θ = `(sqrt(5) + 1)/4`

Sum
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Solution

We know cos 36° = `(sqrt(5) + 1)/4`, 36° = `pi/5`

cos 2θ = cos 36° = `cos (pi/5)`

The general solution is

2θ = `2"n"pi +- pi/5`, n ∈ Z

 θ = `"n"pi +- pi/10`, n ∈ Z

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Chapter 3: Trigonometry - Exercise 3.8 [Page 133]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.8 | Q 3. (x) | Page 133

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