Solution
Solution
+1
Radians
Solution steps
Rewrite using trig identities
Rewrite using trig identities
Use the basic trigonometric identity:
Use the Angle Sum identity:
Use the Angle Sum identity:
Simplify
Simplify
Use the following trivial identity:
periodicity table with cycle:
Simplify
Use the following trivial identity:
periodicity table with cycle:
Simplify
Use the following trivial identity:
periodicity table with cycle:
Simplify
Use the following trivial identity:
periodicity table with cycle:
Multiply
Multiply fractions:
Multiply
Multiply fractions:
Multiply
Multiply fractions:
Multiply
Multiply fractions:
Combine the fractions
Apply rule
Combine the fractions
Apply rule
Divide fractions:
Cancel the common factor:
Factor out common term
Factor out common term
Cancel the common factor:
Subtract from both sides
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Expand
Expand
Apply the distributive law:
Expand
Apply the distributive law:
Apply minus-plus rules
Simplify
Add similar elements:
Add similar elements:
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Multiply fractions:
Apply exponent rule:
Add the numbers:
Multiply fractions:
Cancel the common factor:
Add similar elements:
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
Add the numbers:
Factor
Rewrite as
Apply radical rule:
Apply exponent rule:
Apply Difference of Two Squares Formula:
Solving each part separately
Rewrite using trig identities
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:
Rationalize
Multiply by the conjugate
Apply radical rule:
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
Divide both sides by
Divide both sides by
Simplify
Simplify
Apply the fraction rule:
Cancel the common factor:
Simplify
Apply the fraction rule:
Rationalize
Multiply by the conjugate
Apply radical rule:
General solutions for
periodicity table with cycle:
Combine all the solutions
Graph
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for cot(θ)+cot(θ+45)=2 ?
The general solution for cot(θ)+cot(θ+45)=2 is θ=150+180n,θ=30+180n