Need help simplifying this trigonometric substitution problem on homework.

I need help simplifying (sqrt(x^2-49))/(x) where x =7sec(theta)

I'm completely stumped, (Angry) Trigonometry has proven to not be my strongest subject. Any help, or something worked out to push me in the right direction, would be fantastic!

Re: Need help simplifying this trigonometric substitution problem on homework.

sqrt(x^2 - 49)/x where x = 7 sec(theta)

sqrt(7(sec(theta)))^2 - 49) / (7sec(theta))

sqrt(49(sec(theta))^2 - 49)/ (7sec(theta))

sqrt(49[(sec(theta))^2 - 1]) / (7sec(theta))

sqrt{49(tan(theta))^2 / (7sec(theta))

(7 tan(theta)) / (7sec(theta))

7 tan(theta) cos(theta)/ 7

tan(theta) cos(theta)

sin(theta)/cos(theta) * cos(theta)

sin(theta)

Re: Need help simplifying this trigonometric substitution problem on homework.

Hello, AKPunk49!

I'll write it out in LaTeX . . . may be easier to read.

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