Simplification d'une expression trigonométrique

MathematicsTrigonometryEasy

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3. $\frac{1-\sin^2x}{\cos x}$ Laquelle des propositions suivantes est égale à cette expression ? A) -1 B) 1 C) $\cos x$ D) $\tan x$ E) $\cot x$

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Step 1

Bonjour Eylül, résolvons cet exercice de trigonométrie ensemble.

Simplification Trigonométrique

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Step 2

Nous voulons simplifier l'expression : un moins sinus carré de x, divisé par cosinus de x.

$$\frac{1-\sin^2x}{\cos x}$$
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Step 3

Rappelons l'identité trigonométrique fondamentale qui lie le sinus et le cosinus.

Rappelons l'identité fondamentale :

$$\sin^2x + \cos^2x = 1$$
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Step 4

En isolant le terme cosinus carré de x, nous voyons qu'il est égal à 1 moins sinus carré de x.

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About This Question

Subject
Mathematics
Topic
Trigonometry
Difficulty
Easy
Question Type
Multiple Choice

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