Question

Tan3xtan6x=1 thenn tan3x=?

Answer 1

Answer: 1/√3

Step-by-step explanation: tan6x . tan3x =1

tan3x = 1/tan6x

tan3x = cot6x  (tan = 1/cot)

tan3x = tan(90 - 6x)   (complementary angles)

cancelling the tan on both sides we get,

3x       = 90 - 6x

3x + 6x = 90

9x         = 90

x           = 10

tan3x   = tan30 = 1/√3