Question

If sin theta minus cos theta is equal to zero then find the value of sin raise to the power 4 theta + cos raise to the power sin theta

Answer 1

hope it help u........

Answer 2

Given :

sin∅ - cos∅ = 0

To Find :

The value of $sin^{4}$∅ + $cos^{4}$∅

Solution :

sin∅ - cos∅ = 0

or, sin∅  =  cos∅

or, tan∅ = 1

 ∴   ∅  = 45°

∴ $sin^{4}$∅ + $cos^{4}$∅

= $sin^{4} 45$° + $cos^{4} 45$°

=  $(\frac{1}{\sqrt{2} } )^{4} + (\frac{1}{\sqrt{2} } )^{4}$

= $\frac{1}{4} + \frac{1}{4}$

=  $\frac{2}{4}$

=  $\frac{1}{2}$ (Answer)