cingrisone cingrisone
  • 27-07-2022
  • Mathematics
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sin^4x rewrite the power as a product of two squared terms

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MrRoyal
MrRoyal MrRoyal
  • 28-07-2022

sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

How to rewrite the expression?

The sine expression is given as

sin^4x

The above means

sin x raised to the power of 4

This in other words, the expression is represented as

(sin(x))^4

Express 4 as 2 + 2

(sin(x))^(2 + 2)

Apply the law of indices

(sin(x))^2 * (sin(x))^2

This gives

sin^2(x) * sin^2(x)

Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

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