Question

tan15-tan75=? plz tell​

Answer 1

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refer to the attachment...

$\large\mathcal\red{solution}$

tan15°-tan75°=-2√3

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Answer 2

15 = 45-30

multiply by tan on both sides

tan15=tan(45-30)

now apply tan (a-b) and find the value of 15

so the value of tan 15 is =

$2 - \sqrt{3}$

75=45+30 so

by multiplying tan

tan 75=tan(45+30)

therefore tan 75=

$2 + \sqrt{3}$

now subtract both of them

you will get

2-√3-(2+√3)

2-√3-2-√3

=-2√3