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In Fig below, Find tan P and cot R. Is tan P = cot R?
рдЙрддреНрддрд░
Let x be the adjacent side.
By Pythagoras theorem
ЁЭСГЁЭСЕ2 = ЁЭСГЁЭСД2 + ЁЭСЕЁЭСД2
169 = ЁЭСе2 + 144
ЁЭСе2 = 25
ЁЭСе = 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`
`[тИ╡ Tan R = "ЁЭСЬЁЭСЭЁЭСЭЁЭСЬЁЭСаЁЭСЦЁЭСбЁЭСТ ЁЭСаЁЭСЦЁЭССЁЭСТ"/"ЁЭСОЁЭССЁЭСЧЁЭСОЁЭСРЁЭСТЁЭСЫЁЭСб ЁЭСаЁЭСЦЁЭССЁЭСТ"]`
тИ╡ tan P = cot R
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