ind the value of cos0 sin 0 cos2 0 sin 0 Solutiongiven co

ind the value of cos\"(0) + sin\' (0) = cos2 (0) + sin\' (0)

Solution

given cos⁴ +sin² =cos² +sin⁴

=>cos⁴ -sin⁴=cos² -sin²

=>(cos²)² -(sin²)² =cos² -sin²

=>(cos² -sin²)(cos² +sin²) =cos² -sin²

=>(cos² -sin²)*1 =cos² -sin²

=>cos² -sin² =cos² -sin²

=> = all real numbers

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if the question is to prove cos⁴ +sin² =cos² +sin⁴

then

LHS

cos⁴ +sin²

=(cos²)² +sin²

=(1-sin²)² +sin²

=(1-2sin²+(sin²)² )+sin²

=1-2sin²+sin⁴+sin²

=(1-sin²)+sin⁴

=cos²+sin⁴

RHS