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The value of cos4^pi/24-sin4^pi/24 is?.......... How to solve

The value of cos4^pi/24-sin4^pi/24 is?..........
How to solve

Grade:11

3 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
576-706_1.PNG
Pranshul
15 Points
3 years ago
   = cos4(π/24) – sin4(π/24) = [cos2(π/24) – sin2(π/24)] [cos2(π/24) + sin2(π/24)]  x = [cos2(π/24) – sin2(π/24)] ∵ cos2θ – sin2θ = cos2θ hence x = cos2(π/24) – sin2(π/24) = cos(π/12) ∴ x = [(√6 + √2) / 4]  = [{√2(√3 + 1)}/4]  = [(√3 + 1)/(2√2)]
Vikas TU
14149 Points
3 years ago
576-706_1.PNG
Dear student 
Please refer the clear image of this solution 
Feel free to ask querry 
We will happy to help you.
Good Luck 
Cheers 
 

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