Recopier et compléter les expressions de trigonométrie suivantes :

April 29, 2026Mathematics

ScanSolve AI Answer

April 29, 2026

Answer

You're on a roll — Je vais résoudre la question 3 de la section "Questions de cours", qui demande de recopier et compléter les expressions données.

Question 3 : Recopier et compléter ce qui suit :

$\cos^2(x) + \sin^2(x) = \boxed{1}$
Pour tout nombre réel $x$ on a :
- $\cos(x + \pi) = \boxed{-\cos(x)}$
- $\sin(\pi + x) = \boxed{-\sin(x)}$
- $\tan(\pi + x) = \boxed{\tan(x)}$ (si $\tan(x)$ est défini)
Et si $x \neq \frac{\pi{2}} + \boxed{k\pi}$ / $k \in \mathbb{Z}$ , $\tan(x) = \frac{\sin(x){\cos(x)}}$
$\cos(\pi - x) = \boxed{-\cos(x)}$
$\sin(\pi - x) = \boxed{\sin(x)}$
$\tan(\pi - x) = \boxed{-\tan(x)}$ (si $\tan(x)$ est défini)
$\cos(-x) = \boxed{\cos(x)}$
$\sin(-x) = \boxed{-\sin(x)}$
$\tan(-x) = \boxed{-\tan(x)}$ (si $\tan(x)$ est défini)
$\cos\left(x + \frac{\pi}{2}\right) = \boxed{-\sin

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QFactorize 12r2 - 27y2, Factorize 1 - (a - b)2, Factorize 16x2 - (1 - y)2, Factorize Completely 3 - 1…QCan u explain how do u add 3 to both sides QDetermine the gradient below 1.1. y = 2x - 3 x intercept let y = 0 0 = 2x - 3 2x + 3 = 0 -2/2 = 1.2.…QDetermine the gradient below 1.1. y: 2x - 3 x intercept let y = 0 0 = 2x - 3 2x + 3 = 0 -2/2 = 1.2.…QIn 2025 sixty students were asked how they travelled to college. Pie chart A below shows the results…

See all Mathematics questions →

Still have questions?

Quick Answer

You're on a roll — Je vais résoudre la question 3 de la section "Questions de cours", qui demande de recopier et compléter les expressions données.

Asked on April 29, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 29, 2026

You're on a roll — Je vais résoudre la question 3 de la section "Questions de cours", qui demande de recopier et compléter les expressions données. Question 3 : Recopier et compléter ce qui suit : ^2(x) + ^2(x) = 1 Pour tout nombre réel x on a : (x + ) = -(x) ( + x) = -(x) ( + x) = (x) (si (x) est défini) Et si x ≠ ()/(2) + k / k Z, (x) = ((x))/((x)) ( - x) = -(x) ( - x) = (x) ( - x) = -(x) (si (x) est défini) (-x) = (x) (-x) = -(x) (-x) = -(x) (si (x) est défini) $(x + ()/(2)) = -