Question

calculate all other trignometric ratios in terms of cos a

Answer 1

Let cos a = x, then,

As, sin²x+cos²x=1, so,

sin a=√{1-x²}
tan a={√(1-x²)}/x
cosec a=1/{√(1-x²)}
sec a=1/x
cot a=x/{√(1-x²)}

Answer 2

hello users .....

we have to find
all other trigonometry ratios in term of cos a

solution :-
we know that 
sin²a + cos²a = 1

now
sin² a = 1 - cos² a
=> sin a=  √(1 - cos²a )

now 
cosec a = 1/ sin a = 1/ √(1 - cos²a )
and 
sec a = 1 / cos a
and 
tan a = sin a / cos a = √(1 - cos²a )   / cos a
now
cot a = cos a / sin a = cos a / √(1 - cos²a )


✬✬ hope it helps ✬✬