Question

Which expression is equal to sec x° multiplied by cot x°?
Answer







adjacent ÷ hypotenuse








opposite ÷ adjacent








hypotenuse ÷ opposite








hypotenuse ÷ adjacent

Answer 1

sec x* cot x
sec x =hypoteneus/adjacent
cot x =adjacent/ opposite
on multiplying
hypoteneus/opposite
option 3

Answer 2

another way of looking at this is as follows:\[\sec(x)=\frac{1}{\cos(x)}\]\[\cot(x)=\frac{1}{\tan(x)}\]and you know:\[\tan(x)=\frac{\sin(x)}{\cos(x)}\]therefore:\[\cot(x)=\frac{1}{\tan(x)}=\frac{\cos(x)}{\sin(x)}\]therefore:\[\sec(x)\times\cot(x)=\frac{1}{\cos(x)}\times\frac{\cos(x)}{\sin(x)}=\frac{1}{\sin(x)}\]\[\sin(x)=\frac{opposite}{hypotenuse}\]so you should be able to guess the answer from here...