Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the basic trigonometric identity:
Multiply fractions:
Apply exponent rule:
Add the numbers:
Use the Pythagorean identity:
Combine the fractions
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
Add the numbers:
Expand
Expand
Apply the distributive law:
Multiply the numbers:
Add similar elements:
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Multiply fractions:
Cancel the common factor:
Simplify
Apply rule
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Simplify
Apply the fraction rule:
Divide the numbers:
Simplify
Apply the fraction rule:
Cancel the common factor:
Verify Solutions
Find undefined (singularity) points:
Take the denominator(s) of and compare to zero
The following points are undefined
Combine undefined points with solutions:
General solutions for
periodicity table with cycle:
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for 5cos(x)+5sin(x)tan(x)=10 ?
The general solution for 5cos(x)+5sin(x)tan(x)=10 is x= pi/3+2pin,x=(5pi)/3+2pin