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# Consider the right triangle illustrated with sides of length a = 5 and b = 1.

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Consider the right triangle illustrated with sides of length a = 5 and b = 1. First, determine the length c of the hypotenuse and then fill in the table of values. Express all answers using exact arithmetic. NO DECIMALS. If the answer involves a square root it should be entered as sqrt. E.g. the square root of 2 should be written as sqrt(2)). Sep 22, 2021

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First, determine the length c of the hypotenuse and then fill in the table of values.

Hello GamemasterX!

$$\ c\ =\sqrt{26}$$

$$\ \delta$$                   $$\ A$$                               $$\ B$$

$$\ sin(\delta)$$      $$\dfrac{5}{\sqrt{26}}=\dfrac{5\sqrt{26}}{26}$$        $$\dfrac{1}{\sqrt{26}}=\dfrac{\sqrt{26}}{26}$$

$$\ cos(\delta)$$       $$\dfrac{1}{\sqrt{26}}=\dfrac{\sqrt{26}}{26}$$         $$\dfrac{5}{\sqrt{26}}=\dfrac{5\sqrt{26}}{26}$$

$$\ tan(\delta)$$                 $$\ 5$$                              $$\ \dfrac{1}{5}$$ !

Sep 22, 2021
edited by asinus  Sep 22, 2021