algèbre élémentaire
●relations
- (
𝑐𝑜𝑠²θ) + 𝑠𝑖𝑛² (θ) = 1
-𝑠𝑖𝑛 (π
2−θ) = 𝑐𝑜𝑠 (θ) 𝑒𝑡 𝑠𝑖𝑛 (π
2+θ)= 𝑐𝑜𝑠 (θ)
-𝑐𝑜𝑠 (π
2−θ) = 𝑠𝑖𝑛(θ) 𝑒𝑡 𝑐𝑜𝑠 (π
2+θ)= −𝑠𝑖𝑛 (θ)
-𝑠𝑖𝑛 ( π−θ) = 𝑠𝑖𝑛(θ) 𝑒𝑡 𝑠𝑖𝑛 (π+θ)= −𝑠𝑖𝑛 (θ)
-𝑐𝑜𝑠 ( π−θ) = −𝑐𝑜𝑠(θ) 𝑒𝑡 𝑐𝑜𝑠 (π+θ)= −𝑠𝑖𝑛 (θ)
●valeurs remarquables
θ
0
π
4
π
6
π
3
1
cos()
1
2
2
3
2
1
2
0
sin ()
0
2
2
1
2
3
2
1
tan ()
0
1
3
3
3
/////////
●Formules d’addition
-𝑠𝑖𝑛 (α+β) = 𝑠𝑖𝑛 (α) 𝑐𝑜𝑠(β)+ 𝑐𝑜𝑠(α) 𝑠𝑖𝑛 (β)
-𝑠𝑖𝑛 (α−β) = 𝑠𝑖𝑛 (α) 𝑐𝑜𝑠(β)− 𝑐𝑜𝑠(α) 𝑠𝑖𝑛 (β)
-𝑐𝑜𝑠 (α+β) = 𝑐𝑜𝑠 (α) 𝑐𝑜𝑠(β)− 𝑠𝑖𝑛(α) 𝑠𝑖𝑛 (β)
-𝑐𝑜𝑠 (α−β) = 𝑐𝑜𝑠 (α) 𝑐𝑜𝑠(β)+ 𝑠𝑖𝑛(α) 𝑠𝑖𝑛 (β)
-𝑡𝑎𝑛 (α+β)= 𝑡𝑎𝑛(α)+𝑡𝑎𝑛(β)
1−𝑡𝑎𝑛(α)*𝑡𝑎𝑛(β)
1
/
2
100%