Question

How do you find the numerical value of one trigonometric function of x if cot x/csc x = 0.6?

Answer 1

`cos(x)=0.6`

Explanation:

From the basic definitions:
`color(white)("XXX")cot(x)=(cos(x))/(sin(x))`

`color(white)("XXX")csc(x)=1/(sin(x))`

So `(cot(x))/(csc(x))= (((cos(x))/(sin(x))))/((1/(sin(x))))=cos(x)`

And, since we are told `(cot(x))/(csc(x))=0.6`

therefore, `cos(x)=0.6`

Answer 2

`cosx=0.6`

Explanation:

.

`cotx/cscx=0.6`

`cotx/cscx=(cosx/sinx)/(1/sinx)=cosx/cancelcolor(red)sinx*cancelcolor(red)sinx/1=cosx=0.6`