Write in terms of cos and sin function.

cotx*secx

Show work.

I know cotx = cosx/sinx and secx = 1/cosx, would that just be the answer or can i solve it?

cot x = cos x / sin x

sec x = 1 / cos x

cot x * sec x = ( cos x / sin x ) * ( 1 / cos x ) = 1 / sin x = csc x

To simplify the expression cot(x) * sec(x), we can use the trigonometric identities for cotangent and secant.

Since cot(x) is equal to cos(x)/sin(x) and sec(x) is equal to 1/cos(x), we can substitute these values into the expression and simplify:

cot(x) * sec(x) = (cos(x)/sin(x)) * (1/cos(x))

Now, we can cancel out the common term cos(x) in the numerator and denominator:

= (1/sin(x))

So, cot(x) * sec(x) simplifies to 1/sin(x).

Therefore, the expression can be written as 1/sin(x), in terms of the sine function.