If sin⁴A + sin² = 1
then tan⁴ + tan² = ?
Tawhid2002:
the answer will be 1
Answers
Answered by
3
Sin⁴A + sin²A = 1
sin⁴A = 1 - sin²A
sin⁴A = cos²A ------1)
now .. from ... question ..
tan⁴A + tan²A
sin⁴A/cos⁴A + sin²A/cos²A
cos²A /cos⁴A + sin²A/sin⁴A---------from 1
1/cos²A + 1/sin²A
sin²A+cos²A/cos²A ×sin²A
=> 1/cos²A×sin²A
=> sec²A ×cosec²A
sin⁴A = 1 - sin²A
sin⁴A = cos²A ------1)
now .. from ... question ..
tan⁴A + tan²A
sin⁴A/cos⁴A + sin²A/cos²A
cos²A /cos⁴A + sin²A/sin⁴A---------from 1
1/cos²A + 1/sin²A
sin²A+cos²A/cos²A ×sin²A
=> 1/cos²A×sin²A
=> sec²A ×cosec²A
thanks...but prb is the answer will be 1
oh.. let me check it again brother
thanks for help
brother the question should be cos^4 A + cos^2 A = 1 , find tan^4 A + tan^2 a = ?? ....
brother this q is also on my book....but its another q....if you've any shock on this q you can chek it..at first solve the value of A ..then just use it to get value of tan⁴ + tan²
i know brother ... sometime printing mistake waste our time ... i solved this type of question many times .. thats why i told you.
bt if you get the value of A ...then the answer of the q is 1
I am showing you. .......sin⁴a+sin²a=1.....sin⁴a=1-sin²a.....sin⁴a =
i dont know hoe to calculate the value of A ... First i tried for A but couldn't get any useful information
cos²a....(1-cos²)²=cos²a....(1+cos²a)-cos²a=0....(1+cos²a+cosa)(1+cos²a-cosa)=0....then get it
Answered by
0
cosec^6 A is an answer.
Attachments:
Similar questions