Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Double Angle identity:
Multiply fractions:
Apply exponent rule:
Add the numbers:
Solve by substitution
Let:
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Multiply:
Simplify
Multiply fractions:
Cancel the common factor:
Simplify
Apply rule
Solve
Expand
Distribute parentheses
Apply minus-plus rules
Add similar elements:
Move to the right side
Add to both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
For the solutions are
Verify Solutions
Find undefined (singularity) points:
Take the denominator(s) of and compare to zero
Solve
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
For the solutions are
Apply radical rule:
Apply radical rule:
The following points are undefined
Combine undefined points with solutions:
Substitute back
Apply trig inverse properties
General solutions for
Apply trig inverse properties
General solutions for
Combine all the solutions
Show solutions in decimal form
Popular Examples
(csc^2(x))/4 =4sin^2(x)6sec^2(x)-3cos(x)-10=sec(x)1+4cos(θ)=sqrt(3)sin(θ)tan(x)-sec(x)=sqrt(3)sin^2(x)+cos(2x)=1
Frequently Asked Questions (FAQ)
What is the general solution for tan(2x)tan(x)=1 ?
The general solution for tan(2x)tan(x)=1 is x=0.52359…+pin,x=-0.52359…+pin