How can I graph y=sec^4x-sec^2x on a calculator
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How can I graph y=sec^4x-sec^2x on a calculator

[From: ] [author: ] [Date: 13-08-18] [Hit: ]
desmos.I think this is as simple as you can get.......
Please include step-by-step instructions, thanks! (The calculator is a TI-84)

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Well since secant is just (1/cosX), simply input that exact thing in parenthesis in for sec.

For ex)

y=(1/cosX)^4-(1/cosX)^2

*make sure to use parenthesis exactly as I showed it

If you ever don't have a calculator just use

https://www.desmos.com/calculator (the best online graphing calculator)

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y = sec^4(x) - sec^2(x)
= 1/cos^4(x) - 1/cos^2(x)
= 1/cos^4(x) - [1/cos^2(x)]*[cos^2(x)/cos^2(x)]
= 1/cos^4(x) - cos^2(x)/cos^4(x)
= [1 - cos^2(x)]/cos^4(x)
= sin^2(x)/cos^4(x)
= tan^2(x)/cos^2(x)
= [tan(x)/cos(x)]^2

I think this is as simple as you can get.
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