Solution
Solution
+1
Degrees
Solution steps
Let:
Rewrite using trig identities
Rewrite using trig identities
Rewrite as
Use the Angle Sum identity:
Use the Double Angle identity:
Simplify
Apply exponent rule:
Add the numbers:
Use the Double Angle identity:
Use the Pythagorean identity:
Expand
Expand
Apply the distributive law:
Simplify
Multiply:
Apply exponent rule:
Add the numbers:
Expand
Apply the distributive law:
Simplify
Multiply the numbers:
Apply exponent rule:
Add the numbers:
Simplify
Group like terms
Add similar elements:
Add similar elements:
Simplify
Expand
Apply the distributive law:
Simplify
Multiply the numbers:
Multiply the numbers:
Add similar elements:
Solve by substitution
Let:
Factor
Factor out common term
Apply exponent rule:
Factor out common term
Factor
Rewrite as
Apply Difference of Two Squares Formula:
Using the Zero Factor Principle: If then or
Solve
Move to the right side
Subtract from both sides
Simplify
Solve
Move to the right side
Add to both sides
Simplify
The solutions are
Substitute back
General solutions for
periodicity table with cycle:
Solve
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Combine all the solutions
Substitute back
Divide both sides by
Divide both sides by
Simplify
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Apply rule
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Apply rule
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Apply the fraction rule:
Multiply the numbers:
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Apply rule
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Apply the fraction rule:
Multiply the numbers:
Popular Examples
tan^2(2x)-1=sec(2x)-1.92=cos(x)(sin^2(x))/4 =(cos^2(x))/2solvefor θ,2sin(θ)=tan(θ)solve for 5cot^2(x)+8cot(x)+3=0
Frequently Asked Questions (FAQ)
What is the general solution for 2sin(6x)+2sin(2x)=0 ?
The general solution for 2sin(6x)+2sin(2x)=0 is x=pin,x=(pi+2pin)/2 ,x=(3pi+4pin)/4 ,x=(pi+4pin)/4