Answer :
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
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.
[tex]\cot\theta=\dfrac{\cos\theta}{\sin\theta}[/tex]
[tex]\sec\theta=\dfrac{1}{\cos\theta}[/tex]
[tex]\csc\theta=\dfrac{1}{\sin\theta}[/tex]
[tex]\cot 0\cdot \sec 0 \Rightarrow \dfrac{\cos0}{\sin0}\times \dfrac{1}{\cos0}[/tex]
Cancel like factor from top and bottom
[tex]\cot 0\cdot \sec 0 \Rightarrow \dfrac{1}{\sin0}[/tex]
[tex]\cot 0\cdot \sec 0 \Rightarrow \csc 0[/tex]
Hence, The given expression equivalent to csc 0