Solution
prove
Solution
Solution steps
Manipulating left side
Simplify
Apply the fraction rule:
Use the following property:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Apply exponent rule: if is even
Apply exponent rule:
Apply radical rule:
Apply exponent rule:
Multiply fractions:
Multiply the numbers:
Divide the numbers:
Apply exponent rule:
Subtract the numbers:
Manipulating right side
Simplify
Simplify
Use the following trivial identity:
periodicity table with cycle:
Simplify
Apply exponent rule:
Apply radical rule:
Apply exponent rule:
Multiply fractions:
Multiply the numbers:
Divide the numbers:
Apply exponent rule:
Subtract the numbers:
We showed that the two sides could take the same form
Popular Examples
prove cos(6x)+cos(2x)=2cos(4x)cos(2x)prove prove cos(x)+cot(x)+sin(x)=csc(x)prove prove sin(pi/4)+cos(pi/4)=sqrt(2)prove prove cos(-θ)csc(-θ)tan(-θ)=1prove prove cos(θ)(tan(θ)-tan(θ/2))=tan(θ/2)prove
Frequently Asked Questions (FAQ)
Is cos^4((-3pi)/4)=cos^4(pi/4) ?
The answer to whether cos^4((-3pi)/4)=cos^4(pi/4) is True