Question

Simplify the expressions: cot 0 sec 0 A. Sin0 B. Csc0 C. Cos0 D. Cos* 0

Answer 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

Answer 2

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