Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Express with sin, cos
Use the basic trigonometric identity:
Use the basic trigonometric identity:
Simplify
Multiply fractions:
Multiply:
Apply exponent rule:
Add the numbers:
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply:
Rewrite using trig identities
Use the Pythagorean identity:
Distribute parentheses
Apply minus-plus rules
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply rule
Multiply the numbers:
Add the numbers:
Separate the solutions
Multiply the numbers:
Multiply the numbers:
The solutions to the quadratic equation are:
Substitute back
Apply trig inverse properties
General solutions for
No Solution
Combine all the solutions
Show solutions in decimal form
Graph
Popular Examples
4cos(x)+3sin(x)=5tan^2(θ)-sec^2(θ)=cos(-θ)-2sin(t)-4cos(2t)=08sin(2x)-4sqrt(3)=0cos(3x)cos(9x)+sin(3x)sin(9x)=0
Frequently Asked Questions (FAQ)
What is the general solution for tan(x)= 1/(sec(x)) ?
The general solution for tan(x)= 1/(sec(x)) is x=0.66623…+2pin,x=pi-0.66623…+2pin