Solution
Solution
+1
Radians
Solution steps
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
Factor out common term
Apply rule
Multiply fractions:
Multiply the numbers:
Cross multiply
Apply fraction cross multiply: if then
Simplify
Multiply fractions:
Divide the numbers:
Divide both sides by
Divide both sides by
Simplify
Verify Solutions
Find undefined (singularity) points:
Take the denominator(s) of and compare to zero
The following points are undefined
Combine undefined points with solutions:
Apply trig inverse properties
General solutions for
Show solutions in decimal form
Popular Examples
solvefor x,sin^2(x)=(5m-5)/2solve for csc(θ)=-1.343csc(θ)=-3/2 ,pi<θ<(3pi)/2 ,sin(θ)(2-3sin(θ))/2 =-3sin(θ)sin(2x)=(-3)/2
Frequently Asked Questions (FAQ)
What is the general solution for (50)/(sin(105))=(20)/(sin(x)) ?
The general solution for (50)/(sin(105))=(20)/(sin(x)) is x=0.39669…+360n,x=180-0.39669…+360n