Question

prove that sin
$prove that sin {}^{4} + \cos( {}^{4} ) \div \sin( {}^{2} ) + \cos( {}^{2} ) = 1$
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Answer 1

To Prove:-

$sin {}^{4} + \cos( {}^{4} ) \div \sin( {}^{2} ) + \cos( {}^{2} ) = 1$

Proof:-

__________

So , Taking LHS

=> sin⁴ ∅ - Cos 4 ∅ / sin 2 ∅ - cos 2 ∅

=>( sin² ∅)² - ( cos² ∅ )² /sin² ∅ - cos² ∅

=> ( sin² ∅ + cos² ∅t) ( sin² ∅ - cos² ∅ / sin² ∅ -cos² ∅

=> So , It will cancelled and the remaining part is sin² ∅ + cos² ∅ .

so it will be 1

R.H.S = 1

Hence Proved