Math, asked by mani266, 1 year ago

sec4A{1-sin4A}- 2tan2A=1

Anonymous: is that sec raise to power or sec4A

mani266: yes sec raise to power4

Answers

Answered by singindre824

sec⁴A(1-sin⁴A)-2tan²A
=sec⁴A-sec⁴Asin⁴A-2tan²A
=sec⁴A-sin⁴A(1/cos⁴A)-2tan²A
=sec⁴A-tan⁴A-2tan²A
={(sec²A)²-(tan²A)²}-2tan²A
=(sec²A+tan²A)(sec²A-tan²A)-2tan²A
=sec²A+tan²A-2tan²A [∵, sec²A-tan²A=1]
=sec²A-tan²A
=1 (Proved)

#Pls MARK BRILLIANTLEAST

singindre824: pls mark BRILLIANTLEAST

mani266: i satisfied ur answer. really i canotsolve myself

singindre824: ok

Answered by Anonymous

hope it helps u.....

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