If = ^2x, then write the value of ^2x(1+ ^2x). - Vidyadip

Question

If $\sin\text{x}=\cos^2\text{x},$ then write the value of $\cos^2\text{x}(1+\cos^2\text{x}).$

✓

Answer

$\cos^2\text{x}(1=\cos^2\text{x})=\cos^2\text{x}+(\cos^2\text{x})^2$
$=\cos^2\text{x}+\sin^2\text{x}$ $(\because\sin\text{x}=\cos^2\text{x})$
$=1$

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