Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
α∈/R
Alternative Form
No real solution
Evaluate
tan(α)cot(α)=sec(α)csc(α)
Simplify
More Steps
Evaluate
tan(α)cot(α)
Calculate
cos(α)sin(α)×cot(α)
Calculate
cos(α)sin(α)×sin(α)cos(α)
Calculate
1
1=sec(α)csc(α)
Swap the sides of the equation
sec(α)csc(α)=1
Rewrite the expression
cos(α)1×sin(α)1=1
Simplify
cos(α)sin(α)1=1
Cross multiply
1=cos(α)sin(α)
Swap the sides of the equation
cos(α)sin(α)=1
Simplify
More Steps
Evaluate
cos(α)sin(α)
Rewrite the expression
sin(α)cos(α)
Rewrite the expression
21sin(2α)
21sin(2α)=1
Multiply by the reciprocal
21sin(2α)×2=1×2
Multiply
sin(2α)=1×2
Any expression multiplied by 1 remains the same
sin(2α)=2
Solution
α∈/R
Alternative Form
No real solution
Show Solution
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