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Chapter 5: Problem 50

Rewrite the expression so that it is not in fractional form. There is more than one correct form of each answer. $$\frac{5}{\tan x+\sec x}$$

Short Answer

Expert verified
The non-fractional form of the expression is \(5*\cot{x} + 5*\cos{x}\)

Step by step solution

01

Apply the Reciprocal Identity

The reciprocal identity of \(tan(x)\) is \(cot(x)\) and the reciprocal identity of \(sec(x)\) is \(cos(x)\). So, replace \(tan(x)\) and \(sec(x)\) with their reciprocal identities. The resulting expression is: \(5 * (\cot{x} + \cos{x})\)
02

Apply the Distributive property

Distribute the 5 to both terms inside the parenthesis: \(5*\cot{x} + 5*\cos{x}\)
03

Write Final Answer

The final expression, written in a non-fractional form, is \(5*\cot{x} + 5*\cos{x}\)

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Most popular questions from this chapter

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