Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Express with sin, cos
Use the basic trigonometric identity:
Use the basic trigonometric identity:
Simplify
Least Common Multiplier of
Lowest Common Multiplier (LCM)
Compute an expression comprised of factors that appear either in or
Adjust Fractions based on the LCM
Multiply each numerator by the same amount needed to multiply its
corresponding denominator to turn it into the LCM
For multiply the denominator and numerator by
For multiply the denominator and numerator by
Since the denominators are equal, combine the fractions:
Rewrite using trig identities
Use the Pythagorean identity:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply exponent rule: if is even
Apply rule
Multiply the numbers:
Add the numbers:
Separate the solutions
Remove parentheses:
Multiply the numbers:
Apply the fraction rule:
Remove parentheses:
Multiply the numbers:
Apply the fraction rule:
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
Graph
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for tan(x)=csc(x) ?
The general solution for tan(x)=csc(x) is x=0.90455…+2pin,x=2pi-0.90455…+2pin