Solution

prove

Solution

Solution steps
Manipulating left side
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Apply minus-plus rules
Simplify
Multiply:
Apply exponent rule:
Add the numbers:
Add similar elements:
We showed that the two sides could take the same form

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Frequently Asked Questions (FAQ)

  • Is cos^2(a)-cos^2(a)sin^2(a)=cos^4(a) ?

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