Question
If sinĪø = 5/13 for an acute angle Īø, find: (a)
cosĪø, (b) tan(90Ā° ā Īø).Solution
sinĪø = 5/13 ā opposite = 5, hypotenuse = 13 cosĪø = ā(1 ā sinĀ²Īø) = ā(1 ā 25/169) = ā(144/169) = 12/13 tan(90Ā° ā Īø) = cotĪø = cosĪø/sinĪø = (12/13)/(5/13) = 12/5.
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