SOLUTION: If angle A is acute and tanA is 2/3, them... how do you get the answer of cot(90° − A) =2/3?

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Question 738501: If angle A is acute and tanA is 2/3, them...
how do you get the answer of cot(90° − A) =2/3?

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
If angle A is acute and tanA is 2/3, them...
how do you get the answer of cot(90° − A) =2/3
Say, you are working a 30-60 right triangle, for example:
let A=30º
tan(30º)=1/√3
cot (90-30)=cot(60º)=1/√3
I used 30º for this example, but it will work for any acute angle.
This identity also works for sin and cos functions.
sin 30º=1/2
cos (90-30)=cos(60º)=1/2

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