Which pair of functions have the same domain? a. f(x)= sin x and g(x) = tan x b. f(x) = cos x and f(x) = csc x c. g(x) = tan x and f(x) = cot x d. f(x) = cot x and f(x) = csc x

The correct choice is D

Step-by-step explanation:

The trigonometric functions, and are defined for all real numbers.

, this function is not defined where .

, this function is not defined where .

, this function is not defined where .

For option A

The domain of is all real numbers.

The domain of g(x) =tanx is

For option B

The domain of is all real numbers.

The domain of f(x) =csc(x) is

For option C,

The domain of G(x) =tanx is

The domain of f(x) =cot(x) is

For option D;

The domain of f(x) =cot(x) is

The domain of f(x) =csc(x) is

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step-by-step explanation:

i took the test: )

by definition, an arc subtended by a central angle of some given measure has the same measure. so .