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Graph of Trigonometric Ratios

4 tanΛ-11 / 5...

Question

4 tan^-1 1/5 -tan^-1 1/70 tan^-1 1/99

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Q. The value of

4 {tan}^{- 1} \frac{1}{5} - {tan}^{- 1} \frac{1}{70} + {tan}^{- 1} \frac{1}{99} =

4 {tan}^{- 1} (\frac{1}{5}) - {tan}^{- 1} (\frac{1}{70}) + {tan}^{- 1} (\frac{1}{99}) = \frac{π}{4}

x = 4 {tan}^{- 1} (\frac{1}{5}), y = {tan}^{- 1} (\frac{1}{70})

z = {tan}^{- 1} (\frac{1}{99})

x

x = 4 {tan}^{- 1} (\frac{1}{5}), y = {tan}^{- 1} (\frac{1}{70})

z = {tan}^{- 1} (\frac{1}{99})

x - y + z

θ = {tan}^{- 1} \frac{1}{70} - {tan}^{- 1} \frac{1}{99}

9 cot θ + 890

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