Solution
prove
Solution
Solution steps
Manipulating left side
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Multiply fractions:
Apply exponent rule:
Add the numbers:
Rewrite using trig identities
Use the Pythagorean identity:
Manipulating right side
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
Add the numbers:
We showed that the two sides could take the same form
Popular Examples
prove (cot(x)+tan(x))/(csc(x))=sec(x)prove prove cot(θ)+1=csc(θ)(cos(θ)+sin(θ))prove prove cos^5(x)=(1-sin^2(x))^2cos(x)prove prove 1/(1-sin(x))=sec^2(x)+sec(x)tan(x)prove prove tan(x/2)=(sin(x))/((1+cos(x)))prove
Frequently Asked Questions (FAQ)
Is sin(θ)tan(θ)=sec(θ)-cos(θ) ?
The answer to whether sin(θ)tan(θ)=sec(θ)-cos(θ) is True