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  • 21-06-2020
  • Mathematics
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(1) Cos AcosecA=cot A​

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CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 21-06-2020

Answer:

The Basic Identities are :

[tex]cosec(A) = \frac{1}{ \sin(A) } [/tex]

[tex] \tan(A) = \frac{ \sin(A) }{ \cos(A) } [/tex]

[tex] \cot(A) = \frac{1}{ \tan(A) } = \frac{ \cos(A) }{ \sin(A) } [/tex]

So for this question :

[tex] \cos(A)cosec(A) = \cot(A)[/tex]

[tex]l.s.h = \cos(A) \times \frac{1}{ \sin(A) } [/tex]

[tex]l.s.h = \frac{ \cos(A) }{ \sin(A) } [/tex]

[tex]l.sh = \cot(A) \: (proven)[/tex]

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