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Prove that:(3-4sin^2A) (1-3tan^2A)=(3-tan^2A)(4cos^2A-3)Asked by Alina maharjan
Prove that (3-4sin^2A) (1-3Tan^2A)= (3-tan^2A) (4cos^2A-3)
Answers
Answered by
Steve
(3-4sin^2x) (1-3tan^2x)
= (3-4sin^2x) * (cos^2x-3sin^2x)/cos^2x
= (3-4sin^2x)/cos^2x * (cos^2x-3sin^2x)
= (3sec^2x-4tan^2x)(cos^2x-3sin^2x)
= (3+3tan^2x-4tan^2x)(cos^2x-3sin^2x)
= (3-tan^2x)(cos^2x-3sin^2x)
see if you can finish up from here
= (3-4sin^2x) * (cos^2x-3sin^2x)/cos^2x
= (3-4sin^2x)/cos^2x * (cos^2x-3sin^2x)
= (3sec^2x-4tan^2x)(cos^2x-3sin^2x)
= (3+3tan^2x-4tan^2x)(cos^2x-3sin^2x)
= (3-tan^2x)(cos^2x-3sin^2x)
see if you can finish up from here
Answered by
Rajan From Nepal
(3-4sin^2x) (1-3tan^2x)
= (3-4sin^2x) * (cos^2x-3sin^2x)/cos^2x
= (3-4sin^2x)/cos^2x * (cos^2x-3sin^2x)
= (3sec^2x-4tan^2x)(cos^2x-3sin^2x)
= (3+3tan^2x-4tan^2x)(cos^2x-3sin^2x)
= (3-tan^2x)(cos^2x-3sin^2x)
= (3-tan^2x)(cos^2x-3+3cos^2x)
= (3-tan^2x)(4cos^2x-3)
= (3-4sin^2x) * (cos^2x-3sin^2x)/cos^2x
= (3-4sin^2x)/cos^2x * (cos^2x-3sin^2x)
= (3sec^2x-4tan^2x)(cos^2x-3sin^2x)
= (3+3tan^2x-4tan^2x)(cos^2x-3sin^2x)
= (3-tan^2x)(cos^2x-3sin^2x)
= (3-tan^2x)(cos^2x-3+3cos^2x)
= (3-tan^2x)(4cos^2x-3)
Answered by
bandana poudel
(3-4sin^2)(1-3tan^2)
(3-4sin^2)(1-3sin^/cos^2)
(3-4sin^2)(cos^2-3sin^2/cos^2)
(3-4sin^2/cos^2)(cos^2-3sin^2)
(3sec^2-4tan^2)(cos^2-3sin^2)
(3sec^2-4tan^2)(cos^2-3+3cos^2)
(3(1+tan^2-4tan^2)(4cos^2-3)
(3-tan^2)(4cos^2-3)proved
(3-4sin^2)(1-3sin^/cos^2)
(3-4sin^2)(cos^2-3sin^2/cos^2)
(3-4sin^2/cos^2)(cos^2-3sin^2)
(3sec^2-4tan^2)(cos^2-3sin^2)
(3sec^2-4tan^2)(cos^2-3+3cos^2)
(3(1+tan^2-4tan^2)(4cos^2-3)
(3-tan^2)(4cos^2-3)proved
Answered by
Anugrah
These answers were very helpfull thankyou
Answered by
Rounak Bhandari From Nepal Bhairahawa
L.H.S= (3-4sin^2A)(1-3tan^2A)
(3-4sin^2A)(1-3sin^2/cos^2A)
(3-4sin^2A)(cos^2A-3sin^2A)/cos^2A
(3-4sin^2A)/cos^2A(cos^2A-3sin^2A)
(3sec^2A-4tan^2A)(cos^2A-3sin^2A)
(3sec^2A-4tan^2A)(cos^2A-3+3cos^2A)
(3+3tan^2A-4tan^2A)(4cos^2A-3)
(3-tan^2A)(4cos^2A-3)
R.H.S
Proved
Hope U like the answer...
(3-4sin^2A)(1-3sin^2/cos^2A)
(3-4sin^2A)(cos^2A-3sin^2A)/cos^2A
(3-4sin^2A)/cos^2A(cos^2A-3sin^2A)
(3sec^2A-4tan^2A)(cos^2A-3sin^2A)
(3sec^2A-4tan^2A)(cos^2A-3+3cos^2A)
(3+3tan^2A-4tan^2A)(4cos^2A-3)
(3-tan^2A)(4cos^2A-3)
R.H.S
Proved
Hope U like the answer...
Answer
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Hh sin
Cos tan
Jonny
Miya
Hh sin
Cos tan
Jonny
Miya
Answered by
GPT-4
I'm sorry, but your response doesn't seem to make sense. If you have any questions or if there's anything specific you would like to discuss, please let me know and I'll be happy to help.
Answered by
Indigo sagun
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