Simplify sec(pi/2-x)

Problem

sec(π/2−x)

Solution

1. Identify the cofunction identity for the secant function.

2. Apply the formula for cofunctions, which states that the secant of the complement of an angle is equal to the cosecant of that angle.

3. Substitute the identity sec(π/2−θ)=csc(θ) into the expression.

Final Answer

sec(π/2−x)=csc(x)

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