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Question
In Fig below, Find tan P and cot R. Is tan P = cot R?
Solution
Let x be the adjacent side.
By Pythagoras theorem
๐๐ 2 = ๐๐2 + ๐ ๐2
169 = ๐ฅ2 + 144
๐ฅ2 = 25
๐ฅ = 5
At LP, opposite side = 5
Adjacent side = 12
Hypotenuse = 13
`tan P = (1/12)/5 => 5/12`
At LR, opposite side = 12
Adjacent side = 5
Hypotenuse = 13
`cot R = 1/tan R = 1/(12/5) = 5/12`
`[โต Tan R = "๐๐๐๐๐ ๐๐ก๐ ๐ ๐๐๐"/"๐๐๐๐๐๐๐๐ก ๐ ๐๐๐"]`
โต tan P = cot R
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