Solution
prove
Solution
Solution steps
Manipulating left side
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Apply Difference of Two Squares Formula:
Cancel the common factor:
We showed that the two sides could take the same form
Popular Examples
prove sin(x)cos(x)=1prove prove sec^2(θ)-sin^2(θ)sec^2(θ)=1prove prove 9cot^2(y)(sec^2(y)-1)=9prove prove sin(x)cos(x)= 1/2 sin(2x)prove prove (tan^2(t)-1)/(sec^2(t))=(tan(t)-cot(t))/(tan(t)+cot(t))prove
Frequently Asked Questions (FAQ)
Is 1/(sec(a)-tan(a))=sec(a)+tan(a) ?
The answer to whether 1/(sec(a)-tan(a))=sec(a)+tan(a) is True