=
3
/5
, lies in the second quadrant. Find the values of and ​

1 thought on “=<br /> 3<br /> /5<br /> , lies in the second quadrant. Find the values of and ​”

1. Step-by-step explanation:

   Answer

   Given, sinx=

   5

   3

   cosecx=

   sinx

   1

   =

   (

   5

   3

   )

   1

   =

   3

   5

   sin

   2

   x+cos

   2

   x=1

   ⇒cos

   2

   x=1−sin

   2

   x

   ⇒cos

   2

   x=1−(

   5

   3

   )

   2

   ⇒cos

   2

   x=1−

   25

   9

   ⇒cos

   2

   x=

   25

   16

   ⇒cosx=±

   5

   4

   Since x lies in the 2rd quadrant, the value of cosx eill be negative

   ∴cosx=−

   5

   4

   secx=

   cosx

   1

   =

   (−

   5

   4

   )

   1

   =−

   4

   5

   tanx=

   cosx

   sinx

   =

   (−

   5

   4

   )

   (

   5

   3

   )

   =−

   4

   3

   cotx=

   tanx

   1

   =−

   3

   4

   .

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