Math CentralQuandaries & Queries


Question from Agnes, a student:

How I can solve this question :

Simplify (4- 4cos^4 x)/(sin^2 x) and write in terms of sin x

Hi Agnes,

I can help with some hints.

  • Take out the common factor in the numerator.

  • Look for a difference of squares to factor.

  • Use the fact that $\sin^2 x + \cos^2 x = 1.$


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