Verified Answer :

MattD

cot 0 is undefinded, sec0=1
A. Sin0=0
B. Csc(0) = 1/sin(0). Since there is no number 1/0, csc(0) is undefined.
C. Cos0=1
D. Cos 0=1

Answer:

csc 0

B is correct

Step-by-step explanation:

Given:  Expression, cot 0 sec 0

Simplify the trigonometric expression using identity.

\(\cot\theta=\dfrac{\cos\theta}{\sin\theta}\)

\(\sec\theta=\dfrac{1}{\cos\theta}\)

\(\csc\theta=\dfrac{1}{\sin\theta}\)

\(\cot 0\cdot \sec 0 \Rightarrow \dfrac{\cos0}{\sin0}\times \dfrac{1}{\cos0}\)

Cancel like factor from top and bottom

\(\cot 0\cdot \sec 0 \Rightarrow \dfrac{1}{\sin0}\)

\(\cot 0\cdot \sec 0 \Rightarrow \csc 0\)

Hence, The given expression equivalent to csc 0