Solution
prove
Solution
Solution steps
Manipulating left side
Express with sin, cos
Use the basic trigonometric identity:
Use the basic trigonometric identity:
Simplify
Apply the fraction rule:
Apply exponent rule:
Multiply
Multiply fractions:
Cancel the common factor:
Apply the fraction rule:
Manipulating right side
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Apply exponent rule:
Apply rule
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply:
Multiply fractions:
Rewrite using trig identities
Use the Pythagorean identity:
Apply exponent rule:
Add the numbers:
We showed that the two sides could take the same form
Popular Examples
prove sin(2x)-tan(x)=tan(x)cos(2x)prove prove (cos(θ)cot(θ))/(1-sin(θ))-1=csc(θ)prove prove cot(x)+tan(x)=2csc(2x)prove prove csc(θ)-sin(θ)=cos(θ)cot(θ)prove prove (sec(x))/(tan(x)+cot(x))=sin(x)prove
Frequently Asked Questions (FAQ)
Is (cot^3(t))/(csc(t))=cos(t)(csc^2(t)-1) ?
The answer to whether (cot^3(t))/(csc(t))=cos(t)(csc^2(t)-1) is True