Solution

prove

Solution

Solution steps
Manipulating left side
Rewrite using trig identities
Rewrite as
Use the Angle Sum identity:
Simplify
Apply exponent rule:
Add the numbers:
Apply exponent rule:
Add the numbers:
Use the Pythagorean identity:
Simplify
Distribute parentheses
Apply minus-plus rules
Simplify
Group like terms
Add similar elements:
We showed that the two sides could take the same form

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Frequently Asked Questions (FAQ)

  • Is cos(2a)=2cos^2(a)-1 ?

    The answer to whether cos(2a)=2cos^2(a)-1 is True