Question

mathematics class 10th icse

Answer 1

sec square is 1+tan and cosec sqare is 1+ cot on rationalising u wull get d answer

Answer 2

hey!

your Ans!
_____________

$= > \sqrt{ { \sec }^{2}x + cosec {}^{2} x} \\ \\ = > \sqrt{1 + { \tan }^{2} x + 1 + \cot {}^{2}x } \\ \\ = > \sqrt{tan {}^{2} +cot {}^{2}x + 2 } \\ \\ we \: know \: that \\ tanx \: cotx = 1 \\ then \\ \\ = > \sqrt{tan {}^{2} x + cot {}^{2} x + 2tanx \: cotx} \\ \\ = > \sqrt{(tanx + cot \: x {)}^{2} } \\ \\ = > tanx \: + cot \: x \: \\ \\ hence \: proved$