The numerical value of tan-4-tan3-4-tan5-4-tan7-4is

nbsp;We nbsp;know nbsp;thattan nbsp;π4=1tan nbsp;3π4= 1as nbsp;3π4 nbsp;lies nbsp;in nbsp;the nbsp;2nd nbsp;quadrantalso nbsp;tan nbs ...

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Sign of Trigonometric Ratios in Different Quadrants

The numerical...

Question

$The numerical value of tan (\frac{π}{4}) + tan (\frac{3 π}{4}) + tan (\frac{5 π}{4}) + tan (\frac{7 π}{4}) is$

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tan (\frac{π}{4} + θ) + tan (\frac{π}{4} - θ) = 3

{tan}^{3} (\frac{π}{4} + θ) + {tan}^{3} (\frac{π}{4} - θ)

f (x) = log tan (\frac{π}{4} + \frac{x}{2})

\tan (\frac{π}{4} + θ) + \tan (\frac{π}{4} - θ) = 2 \sec 2 θ

\tan (\frac{π}{4} + x) + \tan (\frac{π}{4} - x) = 2 \sec 2 x

tan {\frac{π}{4} + \frac{1}{2} {cos}^{- 1} \frac{a}{b}} + tan {\frac{π}{4} + \frac{1}{2} {cos}^{- 1} \frac{a}{b}} = \frac{2 b}{a}

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