Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the basic trigonometric identity:
Apply exponent rule:
Apply rule
Multiply fractions:
Multiply the numbers:
Solve by substitution
Let:
Multiply by LCM
Find Least Common Multiplier of
Lowest Common Multiplier (LCM)
Compute an expression comprised of factors that appear either in or
Multiply by LCM=
Simplify
Simplify
Multiply fractions:
Multiply:
Cancel the common factor:
Simplify
Multiply fractions:
Cancel the common factor:
Simplify
Apply exponent rule:
Add the numbers:
Simplify
Apply rule
Solve
Write in the standard form
Factor
Factor out from
Factor out common term
Factor out from
Apply exponent rule:
Factor out common term
Factor out common term
Factor
Rewrite as
Apply Difference of Two Squares Formula:
Using the Zero Factor Principle: If then or
Solve
Move to the right side
Add to both sides
Simplify
Solve
Move to the right side
Subtract from both sides
Simplify
Solve
Move to the right side
Add to both sides
Simplify
The solutions are
Verify Solutions
Find undefined (singularity) points:
Take the denominator(s) of and compare to zero
Solve
Apply rule
The following points are undefined
Combine undefined points with solutions:
Substitute back
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Solve
Combine all the solutions
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for 2cos^2(x)-cos(x)=2-sec(x) ?
The general solution for 2cos^2(x)-cos(x)=2-sec(x) is x= pi/3+2pin,x=(5pi)/3+2pin,x=pi+2pin,x=2pin