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If un=sin^("n")theta+cos^ntheta, then pr...

If `u_n=sin^("n")theta+cos^ntheta,` then prove that `(u_5-u_7)/(u_3-u_5)=(u_3)/(u_1)` .

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To prove that \[ \frac{u_5 - u_7}{u_3 - u_5} = \frac{u_3}{u_1} \] where \( u_n = \sin^n \theta + \cos^n \theta \), we will follow these steps: ...
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