Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Double Angle identity:
Solve by substitution
Let:
Multiply both sides by
To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by
Refine
Expand
Expand
Apply the distributive law:
Apply minus-plus rules
Simplify
Multiply the numbers:
Multiply the numbers:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply exponent rule: if is even
Multiply the numbers:
Add the numbers:
Separate the solutions
Apply rule
Multiply the numbers:
Apply rule
Multiply the numbers:
The solutions to the quadratic equation are:
Substitute back
No Solution
Apply trig inverse properties
General solutions for
Combine all the solutions
Show solutions in decimal form
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for -1.9sin(t)=0.4cos(2t) ?
The general solution for -1.9sin(t)=0.4cos(2t) is t=-0.19583…+2pin,t=pi+0.19583…+2pin