Solution
Solution
+1
Radians
Solution steps
Subtract from both sides
Square both sides
Rewrite using trig identities
Rewrite using trig identities
Use the Angle Difference identity:
Simplify
Simplify
Simplify
Simplify
Apply exponent rule:
Simplify
Apply exponent rule: if is even
Subtract from both sides
Factor
Rewrite as
Apply radical rule:
Apply exponent rule:
Apply Difference of Two Squares Formula:
Solving each part separately
Rewrite using trig identities
Rewrite using trig identities
Use the Angle Difference identity:
Simplify
Simplify
Simplify
Simplify
Expand
Apply the distributive law:
Simplify
Multiply the numbers:
Multiply the numbers:
Simplify
Add similar elements:
Add similar elements:
Divide both sides by
Simplify
Use the basic trigonometric identity:
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Simplify
Cancel the common factor:
Simplify
Apply the fraction rule:
Divide the numbers:
Apply trig inverse properties
General solutions for
Rewrite using trig identities
Rewrite using trig identities
Use the Angle Difference identity:
Simplify
Simplify
Simplify
Simplify
Expand
Apply the distributive law:
Simplify
Multiply the numbers:
Multiply the numbers:
Distribute parentheses
Apply minus-plus rules
Simplify
Add similar elements:
Add similar elements:
Divide both sides by
Simplify
Use the basic trigonometric identity:
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Simplify
Cancel the common factor:
Simplify
Apply the fraction rule:
Divide the numbers:
Apply trig inverse properties
General solutions for
Combine all the solutions
Verify solutions by plugging them into the original equation
Check the solutions by plugging them into
Remove the ones that don't agree with the equation.
Check the solution True
Plug in
For plug in
Refine
Check the solution False
Plug in
For plug in
Refine
Show solutions in decimal form
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for (50.691)cos(50.691-c)+sin(50.691-c)=0 ?
The general solution for (50.691)cos(50.691-c)+sin(50.691-c)=0 is c=-0.70579…+180n