If Sec A=17/8 find Cot A
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Step-by-step explanation:
Given, secA=17/8 and A is an acute angle.
So, in ΔABC we have ∠B=900,
And, AC=17 and AB=8,
By Pythagoras theorem,
BC=(AC2−AB2)
=(172−82)
=(289−64)
=225=15.
Now,
sinA=BC/AC=15/17
cosA=1/secA=8/17
tanA=Bc/AB=15/8
cotA=1/tanA=8/15
cosecA = 1/sinA=17/15.
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