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In triangle XYZ, Z = 90, cos Y = 7/29, and XY = 28. What is tan X?

 May 15, 2021
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Multiple ways to solve this

  rememebr   tan = sin / cos       you are given cos y      this is also  sin x

           find cos x          via     cos ^2 + sin^2 = 1

                                                 cos^2 = 1 - sin^2

                                                  cos^2 = 1 - (7/29)^2 = 1 - 49/841 = 792/841

                                                    cos x = sqrt (792)/29 =   6 sqrt 22 /29

 

tan x = sin x / cos x =  6 sqrt 22 / 29   /  7/29 =  6 sqrt 22 / 7

 May 15, 2021

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