Math, asked by sankalppatra7, 1 year ago

answer this question...................

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Answered by sg2544
11
HEY MATE!........
 =  > tan {}^{2} x = sec {}^{2} x - 1 \\  \\ given.......tan {}^{2} a - tan {}^{2} b \\  = sec {}^{2} a - 1 - sec {}^{2}b  + 1 \\  = sec {}^{2} a - sec {}^{2} b \\ we \: know \:  \: ....sec \: x =  \frac{1}{cos \: x}  \\  =  \frac{1}{cos {}^{2}a }  -  \frac{1}{cos {}^{2}b }  \\  =  \frac{cos {}^{2}b - cos {}^{2}  a}{cos {}^{2} a \: .cos {}^{2}b }  \\ we \: know \: ...cos {}^{2} x = 1 - sin {}^{2} x \\   \\  =  \frac{1 - sin {}^{2} b- 1 + sin {}^{2}a }{(1 - sin {}^{2}a)(1 - sin {}^{2}b)  }  \\  =  \frac{sin {}^{2}a - sin {}^{2}b  }{cos {}^{2} a.cos {}^{2}b }
HOPE IT HELPS U DEAR........


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Answered by ans81
0
Hey bro that you at spot new question nedd folower if you want folower i will follow you pr firstly mark as brainliest.

Thanks
I will follow u but i want only 1 brainliest answer plz
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