Question

express the trigonometric ratio sinA in terms of cosA

Answer 1

To express the trigometric ration sinA in term of cosA

By using property of trignometry

$sin^{2}{A}+cos^{2}{A}=1</p><p>\\then \\</p><p>sin{A}=\sqrt{1-cos^{2}{A} }$

Answer 2

There you go :- 
cos a = square root of (1- square of sin a) 
tan = sin a / cos a = sin a/(square root of (1- square of sin a)) 
cosec a = 1/sin a 
sec a = 1/cos a = 1/(square root of (1- square of sin a)) 
cot a = cos a /sin a = (square root of (1- square of sin a))/sin a

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