Question

if tan 4x=cot 2x,then x is​

Answer 1

Answer:

tan 4x= tan(90-2x)

4x=90-2x

6x=90

x=90/6=15

Answer 2

Given :

Given trigonometric equation is : tan 4x = cot 2x

To find : Value of x

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will be using general trigonometric formulas to solve this mathematical problem.

tan 4x = cot 2x

tan 4x = tan (90°- 2x)

Which implies,

4x = 90°-2x

4x+2x = 90°

6x = 90°

x = 15°

(This will be considered as the final result.)

Used formula :

• cotθ = tan (90°-θ)

Hence, value of x is 15°