Which of the following functions is equal to sec(90°–θ)?
Question
Which of the following functions is equal to sec(90°–θ)?
Solution
The function that is equal to sec(90°–θ) is csc(θ).
Here's the step-by-step explanation:
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The secant function, sec(θ), is the reciprocal of the cosine function. It is defined as sec(θ) = 1/cos(θ).
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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).
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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).
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