1.

The simplified value of `(sec x+secy+tanx tany)^(2)-(sec x tany+tanyx secy)^(2)`A. `-1`B. 0C. `sec^(2)x`D. 1

Answer» Correct Answer - d
`(secx secy+tanxtany)^(2)`
`-(secx tany+tanx secy)^(2)`
`=sec^(2)x.sec^(2)y+tan^(2) x.tan^(2)y+2secx.secy.tanx.tany-sec^(2)x`
`tan^(2)y-tan^(3) x,sec^(2)y+2secx.tany.tanx.secy`
`=sec^(2)x[ s e c^(2)y-tan^(2)x]-tan^(2)x [sec^(2)y-tan^(2)y)`
` =(sec^(2)x-tan^(20x)(sec^(2)y-tan^(2)y)`
`=1xx1=1`


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