sec(π/2-x)
To find the value of sec(π/2-x), we need to know the definition of the secant function
To find the value of sec(π/2-x), we need to know the definition of the secant function.
The secant function (secθ) is defined as the reciprocal of the cosine function (cosθ), so we can write it as secθ = 1/cosθ.
Now, let’s substitute π/2-x in place of θ in the definition of sec(θ):
sec(π/2-x) = 1/cos(π/2-x)
To simplify this expression, we need to use the trigonometric identity for the cosine of the difference of two angles, which states that cos(π/2-x) = sin(x):
sec(π/2-x) = 1/sin(x)
Therefore, the value of sec(π/2-x) is 1/sin(x).
Please note that if the range of the function is specified, you may need to add any necessary restrictions to the final result.
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