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Solve sec4theta-sec2theta=2...

Solve `sec4theta-sec2theta=2`

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`1/(cos4theta)-1/(cos2theta)=2`
`(cos2theta-cos4theta)/(cos2theta*cos4theta)=2`
`cos2theta-cos4theta=2cos2theta*cos4theta`
`cos2theta-cos4theta=cos6theta+cos2theta`
`cos6theta+cos4theta=0`
`2cos((6theta+4theta)/2)cos((6theta-4theta)/2)=0`
`2cos5theta*costheta=0`
`cos5theta=0`
...
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CENGAGE-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
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  3. Solve sec4theta-sec2theta=2

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