Solution

prove

Solution

Solution steps
Manipulating left side
Factor
Rewrite as
Apply exponent rule:
Apply exponent rule:
Apply Difference of Two Squares Formula:
Factor
Apply Difference of Two Squares Formula:
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply Difference of Two Squares Formula:
Use the Double Angle identity:
We showed that the two sides could take the same form

Popular Examples

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Frequently Asked Questions (FAQ)

  • Is sin^4(x)-cos^4(x)=-cos(2x) ?

    The answer to whether sin^4(x)-cos^4(x)=-cos(2x) is True