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Write the trigonometric expression as an algebraic expression in u. sec(cos⁻¹u)

User Peskal
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Final answer:

The trigonometric expression sec(cos⁻¹u) can be written as an algebraic expression in u as 1/u.

Step-by-step explanation:

To write the trigonometric expression as an algebraic expression in u, we need to express it in terms of sine and cosine. We can use the identity sec(x) = 1/cos(x) to rewrite sec(cos⁻¹u) as 1/cos(cos⁻¹u). Since cos(cos⁻¹u) = u (the cosine function and its inverse cancel each other out), the expression simplifies to 1/u.

User Stefan Neubert
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