Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x∈/R
Alternative Form
No real solution
Evaluate
(cos(x)1−sin(x))(1−sin(x)cos(x))=2sec(x)
Simplify
More Steps
Evaluate
(cos(x)1−sin(x))(1−sin(x)cos(x))
Remove the unnecessary parentheses
cos(x)1−sin(x)×(1−sin(x)cos(x))
Remove the unnecessary parentheses
cos(x)1−sin(x)×1−sin(x)cos(x)
Cancel out the common factor 1−sin(x)
cos(x)1×cos(x)
Cancel out the common factor cos(x)
1×1
Multiply the terms
1
1=2sec(x)
Swap the sides of the equation
2sec(x)=1
Multiply both sides of the equation by 21
2sec(x)×21=1×21
Calculate
sec(x)=1×21
Any expression multiplied by 1 remains the same
sec(x)=21
Use the inverse trigonometric function
x=arcsec(21)
Solution
x∈/R
Alternative Form
No real solution
Show Solution
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