Question

given tan 5/10 . find the other trigonometric raties of the angle A​

Answer 1

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Answer 2

Answer:

if tan(A) = 5/10 then the length of hypotenuse is given by

$c^{2} = a^{2} + b^{2} \\c^{2} = 5^2 + 10^2\\c^{2} = 25 + 100\\c^{2} =125\\c = \sqrt{125} =5\sqrt5\\\\\\sin(A) = 1/\sqrt{5} \\cos(A) = 2/\sqrt5$