Solution
prove
Solution
Solution steps
Manipulating left side
Rewrite using trig identities
Use the basic trigonometric identity:
Use the Angle Sum identity:
Use the Angle Sum identity:
Simplify
Simplify
Use the following trivial identity:
periodicity table with cycle:
Simplify
Use the following trivial identity:
periodicity table with cycle:
Simplify
Use the following trivial identity:
periodicity table with cycle:
Simplify
Use the following trivial identity:
periodicity table with cycle:
Multiply
Multiply fractions:
Multiply
Multiply fractions:
Multiply
Multiply fractions:
Multiply
Multiply fractions:
Combine the fractions
Apply rule
Combine the fractions
Apply rule
Divide fractions:
Cancel the common factor:
Factor out common term
Factor out common term
Cancel the common factor:
Manipulating right side
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply:
Divide fractions:
Cancel the common factor:
We showed that the two sides could take the same form
Popular Examples
prove csc(θ)cos(θ)tan(θ)=1prove prove sin(θ)cos(φ)=(sin(θ+φ)+sin(θ-φ))/2prove prove (cos(x)-sin(x))^2=1-2cos(x)sin(x)prove prove (cos(x))/(sin(x))=cos^2(x)prove prove sin(α+β)+sin(α-β)=2sin(α)cos(β)prove
Frequently Asked Questions (FAQ)
Is tan(x+pi/4)=(tan(x)+1)/(1-tan(x)) ?
The answer to whether tan(x+pi/4)=(tan(x)+1)/(1-tan(x)) is True