Question

Which of the six trigonometric functions are undefined when x = 0? (Select all that apply.) sine cosine tangent cosecant secant cotangent

Answer 1

Answer:

cotangent ,cosecant

Step-by-step explanation:

cot=1/tan=1/tan 0=1/0=undefined

cosec=1/sin 0=1/0=undefined

sin 0=0

cos 0=1

tan 0=0

cot 0=undefined

cosec 0=undefined

sec 0=1

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Answer 2

Cotangent is defined at x = 0, but has a value of undefined (or "infinite"): cot(0) = 1/0.

When x = 0, the functions sine and cosecant are undefined, as they involve division by zero. The other trigonometric functions (cosine, tangent, secant, and cotangent) are defined at x = 0.

Specifically: Sine is undefined because sin(0) = 0/1, which involves dividing by zero.

Cosine is defined at x = 0, and has a value of 1: cos(0) = 1.

Tangent is defined at x = 0, but has a value of 0: tan(0) = 0.

Cosecant is undefined because csc(0) = 1/0, which involves dividing by zero.

Secant is defined at x = 0, and has a value of 1: sec(0) = 1.

Cotangent is defined at x = 0, but has a value of undefined (or "infinite"): cot(0) = 1/0.

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