Solution
Solution
Solution steps
Rewrite using trig identities
Use the Sum to Product identity:
Add to both sides
Simplify
Apply trig inverse properties
Use the following trivial identity:
periodicity table with cycle:
Solve
Simplify
Multiply fractions:
Apply exponent rule:
Refine
Multiply the numbers:
Join
Multiply
Multiply fractions:
Multiply:
Least Common Multiplier of
Least Common Multiplier (LCM)
Prime factorization of
divides by
Prime factorization of
divides by
divides by
divides by
are all prime numbers, therefore no further factorization is possible
Multiply each factor the greatest number of times it occurs in either or
Multiply the numbers:
Adjust Fractions based on the LCM
Multiply each numerator by the same amount needed to multiply its
corresponding denominator to turn it into the LCM
For multiply the denominator and numerator by
Since the denominators are equal, combine the fractions:
Add similar elements:
Cancel the common factor:
Apply the fraction rule:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Multiply
Multiply fractions:
Cancel the common factor:
Apply the fraction rule:
Multiply the numbers:
Divide both sides by
Divide both sides by
Simplify
Verify solutions by plugging them into the original equation
Check the solutions by plugging them into
Remove the ones that don't agree with the equation.
Check the solution True
Plug in
For plug in
Refine
Popular Examples
(cot(x)+1/(cot(x)))/(cos(x))=sec(x)sec(θ)=2,(tan(θ)-sin(θ))^2+(1-cos(θ))^2(1+csc(A))(1-csc(A))=-cot(A)6cos^2(3x)-cos(3x)-2=0cos(2x)-3cos(x)+1=0
Frequently Asked Questions (FAQ)
What is the general solution for arctan(1/4 x)-pi-arctan(x/(100))=-pi ?
The general solution for arctan(1/4 x)-pi-arctan(x/(100))=-pi is x=0