Solve 3tan(x/4 pi/8)=tan(x/4 pi/8) - ScanMath

HOME CALCULATOR

DOWNLOAD FOR FREE

Algebra
Calculus
Trigonometry
Matrix

Type your math problem... 3tan(x/4 pi/8)=tan(x/4 pi/8)

Question

Solve the equation

x = 32 k, k \in Z

Alternative Form

x \approx 1833.46494 4^{\circ} k, k \in Z

Evaluate

3 tan (\frac{x}{4} \times \frac{π}{8}) = tan (\frac{x}{4} \times \frac{π}{8})

Find the domain

More Steps

3 tan (\frac{x}{4} \times \frac{π}{8}) = tan (\frac{x}{4} \times \frac{π}{8}), x \neq = 16 + 32 k, k \in Z

Multiply the terms

More Steps

3 tan (\frac{π x}{32}) = tan (\frac{x}{4} \times \frac{π}{8})

Multiply the terms

More Steps

3 tan (\frac{π x}{32}) = tan (\frac{π x}{32})

Move the expression to the left side

3 tan (\frac{π x}{32}) - tan (\frac{π x}{32}) = 0

Calculate

More Steps

2 tan (\frac{π x}{32}) = 0

Multiply both sides of the equation by \frac{1}{2}

2 tan (\frac{π x}{32}) \times \frac{1}{2} = 0 \times \frac{1}{2}

Calculate

tan (\frac{π x}{32}) = 0 \times \frac{1}{2}

Any expression multiplied by 0 equals 0

tan (\frac{π x}{32}) = 0

Use the inverse trigonometric function

\frac{π x}{32} = arctan (0)

Calculate

\frac{π x}{32} = 0

Add the period of kπ, k \in Z to find all solutions

\frac{π x}{32} = kπ, k \in Z

Solve the equation

More Steps

x = 32 k, k \in Z

Check if the solution is in the defined range

x = 32 k, k \in Z, x \neq = 16 + 32 k, k \in Z

Solution

x = 32 k, k \in Z

Alternative Form

x \approx 1833.46494 4^{\circ} k, k \in Z

Show Solution

Graph

Graph