Mathematics, 07.10.2019 20:30 tonimgreen17p6vqjq
For questions 1 – 2, find an algebraic expression equivalent to the following expressions:
1. cos(tan^-1x)
2. cot(arcsin x)
Answers: 2
, so that 
. Picture a right triangle with hypotenuse of length 
and a reference angle 
. Then
, so that 
. In a right triangle with hypotenuse ![\cos y=\sqrt{1-x^2}[t/ex][tex]\implies\cot(\arcsin x)=\cot y=\dfrac{\cos y}{\sin y}=\dfrac{\sqrt{1-x^2}}x](/tpl/images/0297/9607/2f3d4.png)
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For questions 1 – 2, find an algebraic expression equivalent to the following expressions:
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