Write in terms of cos and sin function.
cotx*secx
I know cotx = cosx/sinx and sec x= 1/cos x.
but how do i solve it?
Indicate specific topic so tutor with the right knowledge will respond.
To simplify the expression cot(x) · sec(x), we can use the identities cot(x) = cos(x)/sin(x) and sec(x) = 1/cos(x).
First, substitute cot(x) and sec(x) with their respective expressions:
cot(x) · sec(x) = (cos(x)/sin(x)) · (1/cos(x))
Next, we can simplify the expression by canceling out common terms. In this case, the cosine terms in the numerator and the denominator can be canceled out:
cot(x) · sec(x) = (cos(x)/sin(x)) · (1/cos(x))
= (cos(x) · 1) / (sin(x) · cos(x))
Since the cosine terms cancel out, we are left with:
cot(x) · sec(x) = 1 / sin(x)
Therefore, in terms of the sine function, cot(x) · sec(x) simplifies to 1/sin(x).