Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Rewrite as
Use the following trivial identity: Use the following trivial identity:
Use the Angle Sum identity:
Divide both sides by
Divide both sides by
Simplify
General solutions for
periodicity table with cycle:
Solve
Move to the right side
Add to both sides
Simplify
Simplify
Add similar elements:
Simplify
Group like terms
Least Common Multiplier of
Least Common Multiplier (LCM)
Prime factorization of
is a prime number, therefore no factorization is possible
Prime factorization of
divides by
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:
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for sin(θ)-cos(θ)=sqrt(2) ?
The general solution for sin(θ)-cos(θ)=sqrt(2) is θ=2pin+(3pi)/4