Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Apply minus-plus rules
Multiply the numbers:
Expand
Apply the distributive law:
Apply minus-plus rules
Multiply the numbers:
Simplify
Group like terms
Add/Subtract the numbers:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply exponent rule: if is even
Multiply the numbers:
Subtract the numbers:
Apply rule
Separate the solutions
Apply rule
Add the numbers:
Multiply the numbers:
Apply rule
Apply rule
Subtract the numbers:
Multiply the numbers:
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
cos(x)tan(x)=sin(2x)2|sin(4θ)|=0250sin(75)=393.19sin(45-θ)tan(θ)= 6/(6.71)solvefor x,sin(x)-1=0solve for
Frequently Asked Questions (FAQ)
What is the general solution for -2cos^2(x)=3(sin(x)-1) ?
The general solution for -2cos^2(x)=3(sin(x)-1) is x= pi/2+2pin,x= pi/6+2pin,x=(5pi)/6+2pin