Question

Express cosA in terms of cosecA

Answer 1

Step-by-step explanation:

cosA=√(1-SIN^2A)=(√1-1/coesc^2A)

Answer 2

Answer:

$cos(A)=\sqrt{1-(\frac{1}{cose(A)} )^2}$

Step-by-step explanation:

We know,

$cosec(A)=\frac{1}{sin(A)}$

$sin(A)=\frac{1}{cosec(A)}$

And,

$sin^2(A)+cos^2(A)=1$

Rearranging it, we get

$cos(A)=\sqrt{1-sin^2(A)}$

Therefore,

$cos(A)=\sqrt{1-(\frac{1}{cosec(A)} )^2}$

Hope that helps!

(if you have any doubts, post it in the comments)