2 Tan X 1 Tan2x

Calculus Examples

Step 1

Take the
inverse
tangent
of both sides of the
equation
to extract from inside the
tangent.

Step 3

Divide
each
term
in by and simplify.

Cancel the
common factor
of .

Cancel the
common factor.

Multiply
the
numerator
by the
reciprocal
of the
denominator.

Step 4

The
tangent
function
is positive in the first and third
quadrants. To find the
second
solution, add the
reference angle
from to find the
solution
in the fourth
quadrant.

Step 5

To write as a
fraction
with a
common denominator,
multiply
by .

Combine
the
numerators
oper the
common denominator.

Divide
each
term
in by and simplify.

Cancel the
common factor
of .

Cancel the
common factor.

Multiply
the
numerator
by the
reciprocal
of the
denominator.

Step 6

The period of the
function
can be calculated using .

Replace with in the
formula
for period.

The
absolute value
is the
distance
between a number and
zero. The
distance
between and is .

Step 7

The period of the
function
is so values will repeat every
radians
in both directions.

, for any
integer

Step 8

Consolidate the answers.

, for any
integer

Source: https://www.mathway.com/popular-problems/Calculus/541000