Final answer to the problem
$\sin\left(a\right)^2$
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Step-by-step Solution
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1
Apply the trigonometric identity: $\sin\left(\theta \right)^4-\cos\left(\theta \right)^4$$=1-2\cos\left(\theta \right)^2$, where $x=a$
$1-2\cos\left(a\right)^2+\cos\left(a\right)^2$
Learn how to solve simplifier des expressions trigonométriques problems step by step online.
$1-2\cos\left(a\right)^2+\cos\left(a\right)^2$
Learn how to solve simplifier des expressions trigonométriques problems step by step online. sin(a)^4-cos(a)^4cos(a)^2. Apply the trigonometric identity: \sin\left(\theta \right)^4-\cos\left(\theta \right)^4=1-2\cos\left(\theta \right)^2, where x=a. Combining like terms -2\cos\left(a\right)^2 and \cos\left(a\right)^2. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2, where x=a.
Final answer to the problem
$\sin\left(a\right)^2$
