Question

tan 15 = x
what is x equal to
Please answer this step by step. ​

Answer 1

Answer:

Here is the correct answer mate...

Thank you ☺✌..

Answer 2

tan 15 = tan (45 - 30)

tan 15 = (tan45 - tan30)/(1 + tan45 tan30)

=> tan 15 = (1 - 1/√3)/(1 + 1/√3)

=> tan 15 = (√3 - 1)/(√3 + 1)

=> tan 15 = (√3 - 1)/(√3 + 1) × (√3 - 1)/(√3 - 1)

=> tan 15 = (3 + 1 - 2√3)/(3 - 1)

=> tan 15 = (4 - 2√3)/2

=> tan 15 = 2 - √3