Question

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

Answer 1

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 2

csc 0

B is correct

Explanation:

Given: Expression, cot 0 sec 0

Simplify the trigonometric expression using identity.

`\cot\theta=(\cos\theta)/(\sin\theta)`

`\sec\theta=(1)/(\cos\theta)`

`\csc\theta=(1)/(\sin\theta)`

`\cot 0\cdot \sec 0 \Rightarrow (\cos0)/(\sin0)* (1)/(\cos0)`

Cancel like factor from top and bottom

`\cot 0\cdot \sec 0 \Rightarrow (1)/(\sin0)`

`\cot 0\cdot \sec 0 \Rightarrow \csc 0`

Hence, The given expression equivalent to csc 0