Question: How change trigonometry to shorter trigonometric ?

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)
 

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