If \( \sin \theta+\cos \theta=p \), then the value of \( \sin ^{2} \theta+\cos ^{4} \) \( \theta... VIDEO
If \( \sin \theta+\cos \theta=p \), then the value of \( \sin ^{2} \theta+\cos ^{4} \) \( \theta \) in terms of \( p \) is
a. \( 1-\left(\frac{\mathrm{p}^{2}+1}{2}\right)^{2} \)
b. \( \frac{1+\left(\mathrm{p}^{2}-1\right)^{2}}{2}-1 \)
c. \( \frac{1-\left(p^{2}-1\right)^{2}}{2}-p^{2} \)
d. \( 1-\left(\frac{\mathrm{p}^{2}-1}{2}\right)^{2} \)
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