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Question: How change trigonometry to shorter trigonometric ?

Question:How change trigonometry to shorter trigonometric ?

salim-barzani 1775 Maple 2021
simplification trig
October 20 2024
0

How we can change identity like 1/sin(x)=csc(x) or 1/cos(x)=sec(x) sometime our function is beger than this and radical come in how i can do thus simplification?

> 

restart
> 

M := sin(x)/cos(x)

sin(x)/cos(x)

 (1)
> 

convert(M, trig)

sin(x)/cos(x)

 (2)
> 

tan(x)

tan(x)

 (3)
> 

simplify(M)

sin(x)/cos(x)

 (4)
> 

K := 1/sinh(x)

1/sinh(x)

 (5)
> 

simplify(convert(K, trig))

1/sinh(x)

 (6)
> 

csch(x)

csch(x)

 (7)
> 

Q := sqrt(beta[0]/(B[1]*cosh(xi*sqrt(-lambda))))

(beta[0]/(B[1]*cosh(xi*(-lambda)^(1/2))))^(1/2)

 (8)

(beta[0]/(B[1]*cosh(xi*(-lambda)^(1/2))))^(1/2)

 (9)
> 

simplify((beta[0]/(B[1]*cosh(xi*(-lambda)^(1/2))))^(1/2), 'trig')

(beta[0]/(B[1]*cosh(xi*(-lambda)^(1/2))))^(1/2)

 (10)
 

NULL

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