Math, asked by pushkardeshmukh10, 2 months ago

If 8 tan N=15, Find the value of 1/√1-cos^2 N

Answers

Answered by anmol4953
39

Answer:

HERE'S YOUR ANSWER

  • GIVEN: 8tanN=15
  • =tanN=15/8 (tanN=P/B)

AND,

 \frac{1}{ \sqrt{1 -  {cos}^{2} n} }  =    \frac{1}{ \sqrt{ {sin}^{2}n } }  =   \frac{1}{sinn}   \\  = cosec

now we know cosec²N-cot²N=1 (since tanN=15/8 =>cotN=8/15

=> cosec²N-(8/15)²=1

= cosec²N= 1- 64/225

=cosec²N= 161/225

=cosecN=(161)^1/2/ 15

Answered by Anonymous
13

{ {{  answer : cosecN=(161)^1/2/ 15 }}}

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