What is the value of arctan(2)+arctan(1/2) ?

The value of arctan(2)+arctan(1/2) is 1.57079…

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arctan(2)+arctan(1/2)

arctan (2) + arctan (\frac{1}{2})

1.57079 \dots

Solution steps

arctan (2) + arctan (\frac{1}{2})

Refine to a decimal form

= 1.57079 \dots

arctan (- 5.5)

cos (4 5^{\circ}) (sin (3 0^{\circ}) + tan (6 0^{\circ}))

cos (16 5^{\circ}) - cos (1 5^{\circ})

2 sin (3 0^{\circ}) + 3 cos (6 0^{\circ}) - 3 tan (4 5^{\circ})

cos (arcsin (\frac{4}{5}) + arccos (\frac{3}{5}))

What is the value of arctan(2)+arctan(1/2) ?
The value of arctan(2)+arctan(1/2) is 1.57079…