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Question: Why does simplify remove an independent variable?

Question: Why does simplify remove an independent variable?

C_R 1960 Maple
gamma
July 27 2022
1

t is removed from gamma(t)

sqrt(1+(cos(alpha(t))^2-1)*cos(gamma(t))^2)

(1+(cos(alpha(t))^2-1)*cos(gamma(t))^2)^(1/2)

 (1)

simplify((1+(cos(alpha(t))^2-1)*cos(gamma(t))^2)^(1/2))

(cos(alpha(t))^2*cos(gamma)^2-cos(gamma)^2+1)^(1/2)

 (2)

lprint((1+(cos(alpha(t))^2-1)*cos(gamma(t))^2)^(1/2))

(1+(cos(alpha(t))^2-1)*cos(gamma(t))^2)^(1/2)

  

subs(gamma(t) = gamma(t), (1+(cos(alpha(t))^2-1)*cos(gamma(t))^2)^(1/2))

(1+(cos(alpha(t))^2-1)*cos(`γ`(t))^2)^(1/2)

 (3)

simplify((1+(cos(alpha(t))^2-1)*cos(`γ`(t))^2)^(1/2))

(cos(`γ`(t))^2*cos(alpha(t))^2-cos(`γ`(t))^2+1)^(1/2)

 (4)

lprint((1+(cos(alpha(t))^2-1)*cos(`γ`(t))^2)^(1/2))

(1+(cos(alpha(t))^2-1)*cos(`γ`(t))^2)^(1/2)

  

NULL

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