Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Rewrite using trig identities
Use the Angle Difference identity:
Simplify
Rewrite using trig identities:
Write as
Use the Angle Sum identity:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Multiply fractions:
Rewrite using trig identities:
Write as
Use the Angle Sum identity:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Multiply fractions:
Apply rule
Since the denominators are equal, combine the fractions:
Factor out common term
Cancel
Apply radical rule:
Apply exponent rule:
Subtract the numbers:
Apply radical rule:
Rationalize
Multiply by the conjugate
Apply radical rule:
Use the Angle Sum identity:
Simplify
Rewrite using trig identities:
Write as
Use the Angle Sum identity:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Multiply fractions:
Rewrite using trig identities:
Write as
Use the Angle Sum identity:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Use the following trivial identity:
periodicity table with cycle:
Simplify
Multiply fractions:
Apply rule
Since the denominators are equal, combine the fractions:
Factor out common term
Cancel
Apply radical rule:
Apply exponent rule:
Subtract the numbers:
Apply radical rule:
Rationalize
Multiply by the conjugate
Apply radical rule:
Simplify
Apply rule
Add similar elements:
Divide the numbers:
Divide both sides by
Simplify
Use the basic trigonometric identity:
Move to the right side
Add to both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
General solutions for
periodicity table with cycle:
Popular Examples
cos(2x)+sin(2x)=1solvefor θ,sin(θ)= 1/2solve for sin(x+(3pi)/2)-cos^2(x)=06cos(x)-6sin(x)=03tan^3(x)-tan(x)=0
Frequently Asked Questions (FAQ)
What is the general solution for cos((5pi)/4+x)+sin((5pi)/4-x)=0 ?
The general solution for cos((5pi)/4+x)+sin((5pi)/4-x)=0 is x= pi/4+pin