Algebra
Calculus
Trigonometry
Matrix
Question :
sin(x)-cos(x)=0
Solve the equation
x=4π+kπ,k∈Z
Alternative Form
x=45∘+180∘k,k∈Z
Alternative Form
x≈0.785398+kπ,k∈Z
Evaluate
sin(x)−cos(x)=0
Move the expression to the right side
−cos(x)=0−sin(x)
Subtract the terms
−cos(x)=−sin(x)
Divide both sides
sin(x)−cos(x)=−1
Divide the terms
More Steps
Evaluate
sin(x)−cos(x)
Use b−a=−ba=−ba to rewrite the fraction
−sin(x)cos(x)
Rewrite the expression
−sin−1(x)cos(x)
Rewrite the expression
−cot(x)
−cot(x)=−1
Multiply both sides of the equation by −1
−cot(x)(−1)=−(−1)
Calculate
cot(x)=−(−1)
Multiplying or dividing an even number of negative terms equals a positive
cot(x)=1
Use the inverse trigonometric function
x=arccot(1)
Calculate
x=4π
Solution
x=4π+kπ,k∈Z
Alternative Form
x=45∘+180∘k,k∈Z
Alternative Form
x≈0.785398+kπ,k∈Z
Show Solution
