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abruzzese [7]
3 years ago
9

BRAINLIESTT ASAP! PLEASE HELP ME ASAP! :)

Mathematics
1 answer:
Sav [38]3 years ago
8 0

Answer:

Here's what I did  

Step-by-step explanation:

Use the identity  

sin²x + cos²x = 1, Then

sin²x =  1 - cos²x, and

sin²x - 1 = -cos²x and

cos²x - 1 = -sin²x

\begin{array}{rcll}\sin^{4}x - \sin^{2}x & = & \cos^{4}x - \cos^{2}x & \\\sin^{2}x(\sin^{2}x - 1) & = & \cos^{2}x(\cos^{2}x - 1) &\text{Factored the expressions} \\\sin^{2}x(-\cos^{2}x) & = &  \cos^{2}x(-\sin^{2}x) &\text{Used the identity}\sin^{2}x + \cos ^{2}x = 1\\-\sin^{2}x\cos^{2}x & = &  -\sin^{2}x\cos^{2}x &\text{Simplified}\\\end{array}

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