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Which of the following functions is equal to sec(90°–θ)?

Question

Which of the following functions is equal to sec(90°–θ)?

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Solution

The function that is equal to sec(90°–θ) is csc(θ).

Here's the step-by-step explanation:

  1. The secant function, sec(θ), is the reciprocal of the cosine function. It is defined as sec(θ) = 1/cos(θ).

  2. The function sec(90°–θ) can be rewritten using a co-function identity. The co-function identity for the secant function is sec(90°–θ) = csc(θ).

  3. The cosecant function, csc(θ), is the reciprocal of the sine function. It is defined as csc(θ) = 1/sin(θ).

So, sec(90°–θ) is equal to csc(θ).

This problem has been solved

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