Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Double Angle identity:
Factor
Rewrite as
Factor out common term
Solving each part separately
General solutions for
periodicity table with cycle:
Solve
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
sin(θ)+cos(θ)= 7/5 ,sin(2θ)tan(x)= 5/9tan(t)=-(sqrt(11))/5 ,cos(t)>0,sin(t)tan(θ+20)tan(90-3θ)=12csc(x)+7/(cos(x))=0
Frequently Asked Questions (FAQ)
What is the general solution for 2sin(x)=sqrt(2)sin(2x) ?
The general solution for 2sin(x)=sqrt(2)sin(2x) is x=2pin,x=pi+2pin,x= pi/4+2pin,x=(7pi)/4+2pin