Question

tanx=cot(45+2x) what is value of x?

Answer 1

Answer:

Step-by-step explanation:

Tan X = cot (45+2X)

Tan X = tan (90- (45+2X))

Tan X = tan(45 - 2X)

x = 45- 2X

3X = 45

x = 15

Answer 2

Question;

If tanX = cot(45° + 2X), then what is the value of X ?

Solution:

We have;

=> tanX = cot(45° + 2X)

=> tanX = tan{90° - (45° + 2X)}

{ since , cot@ = tan(90°- @) }

=> tanX = tan(90° - 45° - 2X)

=> tanX = tan(45° - 2X)

=> X = 45° - 2X

=> X + 2X = 45°

=> 3X = 45°

=> X = 45°/3

=> X = 15°

Hence, the required value of X is 15°.