Solution
prove
Solution
Solution steps
Manipulating left side
Express with sin, cos
Use the basic trigonometric identity:
Use the basic trigonometric identity:
Multiply fractions:
Cancel the common factor:
Cancel the common factor:
Simplify
Manipulating right side
Express with sin, cos
Use the basic trigonometric identity:
Multiply fractions:
Cancel the common factor:
Simplify
We showed that the two sides could take the same form
Popular Examples
prove cos(2θ)+tan(θ)sin(2θ)=1prove prove (cot(2x))/(cos(2x))=csc(2x)prove prove (tan(θ)+1)(tan(θ)-1)=sec^2(θ)-2prove prove (sec(t)-1)/(1-cos(t))=sec(t)prove prove tan((7pi)/6)=(sqrt(3))/3prove
Frequently Asked Questions (FAQ)
Is tan(θ)cot(θ)-1=1-sec(θ)cos(θ) ?
The answer to whether tan(θ)cot(θ)-1=1-sec(θ)cos(θ) is True