Question

If 5x = seco and 5/x=
tano, find the value of 25(x^2-1/x^2)​

Answer 1

Answer:

1

Step-by-step explanation:

$25(x^2-1/x^2)$

$= 25x^{2} - 25/X^{2}$

$= (5x)^{2} - (5/x)^{2}$

Since 5x = secθ and 5/x = tanθ

$= sec^{2}θ - tan^{2} θ$

  = 1                            Hence, $1 + tan^{2}θ = sec^{2}θ$.