Question

Write all other Trigonometric ratio of angle A in terms of cos A

Answer 1

hello users .......

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we have to find:
All trigonometry ratios in terms of cos A ??

Here is your Answer :
we have total 6 trigonometry ratios 
sin A ,
cos A ,
tan A ,
cosec A ,
sec A , 
cot A ,

here,
we know that:
sin²x + cos²x = 1 
=> sin x = √(1 - cos²x) 

=> sin A in terms of cos A 
=   √(1 - cos²A) 

and,
tan A in terms of cos A 
= sin A / cos A  = { √(1 - cos²A) } / cos A

and,
cosec A in terms of cos A
  = 1 / sin A = 1 / {√(1 - cos²A) }

and,
sec A in terms of cos A = 1 / cos A 

and 
cot A in terms of cos A 
= cos A / sin A = cos A / { √(1 - cos²A) }

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@@ hope it helps @@