Question

what is the value of cot 75

Answer 1

[0010001111]... Hello User... [1001010101]
Here's your answer...

The value of cot 75 can be found by this formula...

$cot(x + y) = \frac{cot \: x \: cot \: y - 1}{cot \: x + cot \: y}$

Putting x and y's values as 30 and 45...

$cot \: 75 = \frac{cot \: 45 \: cot \: 30 - 1}{cot \: 45 + cot30} \\ = \frac{1 \times \sqrt{3} - 1 }{1 + \sqrt{3} } \\ = \frac{ \sqrt{3} - 1}{ \sqrt{3} + 1}$

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