Question

Prove that tan 75 – tan 30 - tan 75.tan 30 = 1​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

first we find the value of tan 75

webreak tan75=tan(45+30)

and apply formulae tanA+tanB=tanA+tanB/1 -tanAtanB

so value tan75=

$\frac{ \sqrt{3 } - 1 }{ \sqrt{3} - 1 }$

and put value value tan30=

$\frac{1}{ \sqrt{3} }$

and we get