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Question

If cos2θ=a then cos3θcosθ  equals to 


  1. 2a+1

  2. 2a-1

  3. 2a-2

  4. 2a+2


Solution

The correct option is B

2a-1


cos3θcosθ=4cos3θ3cosθcosθ 

= 4 cos2θ3 

= 2 (1+cos2θ)3 

= 2(1+a) - 3

= 2a - 1

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