Solution
Solution
+1
Degrees
Solution steps
Factor
Rewrite as
Apply exponent rule:
Apply exponent rule:
Apply Difference of Two Squares Formula:
Factor
Apply Difference of Two Squares Formula:
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Multiply:
Solving each part separately
Rewrite using trig identities
Divide both sides by
Simplify
Use the basic trigonometric identity:
Move to the right side
Add to both sides
Simplify
General solutions for
periodicity table with cycle:
Rewrite using trig identities
Divide both sides by
Simplify
Use the basic trigonometric identity:
Move to the right side
Subtract from both sides
Simplify
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
tan(θ)cos(θ)+cos(θ)=0sin(x)=cos(x),0<= x<= 2pi3cos(θ)=02sin^2(θ)+sin(θ)-9=2sin(θ)-8cos(θ)=(sqrt(5))/3
Frequently Asked Questions (FAQ)
What is the general solution for sin^4(x)-cos^4(x)=0 ?
The general solution for sin^4(x)-cos^4(x)=0 is x= pi/4+pin,x=(3pi)/4+pin