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In right triangle ABC, angle B is 90 degrees. If tan C = 2. Find cos A. No caculator

 Nov 27, 2021
 #1
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Since  tan(C) = 2     --->     AB = 2  and  BC = 1     (or multiples of these numbers)

 

Using  AB = 2  and  BC = 1  and the Pythagorean Theorem,  AC  =  sqrt(5).

 

Therefore,  cos(A)  =  2 / sqrt(5)

 Nov 27, 2021
 #2
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In the right triangle ABC, angle B is 90 degrees. If tan C = 2. Find cos A. No calculator.

 

tanC = 2/1 = 2

 

cosA = 2 / √5 = 0.894427191

 Nov 27, 2021

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