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

Sagot :

MattDidn
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
Isyllusidn

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

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