Linear Algebra Lab Manual: Exploring Linear ALgebra with SageMath

Section 1.4 Using Sage with Common Functions

1. Exponential function: $y=a^x\text{.}$ We may plot the function.

   
       
   
           
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   plot(2^x, -3, 4)
   
       
       
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2. Trigonometry function: $y=\sin x,y=\cos x,y=\tan x,y=\cot x,y=\sec x,y=\csc x.$

   
       
   
           
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   plot(sin(x), -2*pi, 2*pi)
   
       
       
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   There are two mistakes in the following cell. Fix it!

   
       
   
           
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   plot(sin(t), -2*pi, 2pi)
   
       
       
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3. Power Functions $y=x^n,n\in {\mathbb{R}}_{\ge 0}\text{.}$ We may plot the power functions together.

   
       
   
           
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   plot(x^(1/2), 1,2)+plot(x^2, 1,2)
   
       
       
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4. Logarithm function: $y=\ln x\text{.}$ Exercise: compute the value of $\ln 20$

   
       
   
           
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   ln(20).n()
   
       
       
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5. Inverse Trigonometry Functions: $y=asin(x),atan(x),acot(x)\text{.}$

   
       
   
           
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   plot(2^x, -3, 4)
   
       
       
       Evaluate (Sage)
       
   
           
   
               
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