Simplifying Trigonometric Expression: How to Simplify sec(π/2 – x) Using Trigonometric Identity

sec(π/2-x)

To simplify the expression sec(π/2 – x), we can use the trigonometric identity:

sec(π/2 – A) = 1/cos(A)

Applying this identity to our expression, we have:

sec(π/2 – x) = 1/cos(x)

Therefore, the simplified form of sec(π/2 – x) is 1/cos(x)

To simplify the expression sec(π/2 – x), we can use the trigonometric identity:

sec(π/2 – A) = 1/cos(A)

Applying this identity to our expression, we have:

sec(π/2 – x) = 1/cos(x)

Therefore, the simplified form of sec(π/2 – x) is 1/cos(x).

We can also explain the steps involved in this simplification process:

1. Start with the given expression sec(π/2 – x).

2. Recognize the trigonometric identity, sec(π/2 – A) = 1/cos(A).

3. Substitute x for A, which gives us sec(π/2 – x) = 1/cos(x).

4. Therefore, the simplified form of sec(π/2 – x) is 1/cos(x).

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