Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Pythagorean identity:
Use the basic trigonometric identity:
Apply exponent rule:
Apply rule
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:
Cancel the common factor:
Simplify
Multiply fractions:
Multiply:
Cancel the common factor:
Simplify
Apply rule
Move to the right side
Subtract from both sides
Simplify
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:
Combine all the solutions
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for sec^2(x)+tan(x)=1 ?
The general solution for sec^2(x)+tan(x)=1 is x=(3pi)/4+pin