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Trigonometric Identities: Basic and Sum and Difference Formulas, Assignments of Mathematics

Mathematics

Various trigonometric identities, including the basic identities for sine, cosine, and tangent, as well as the sum and difference formulas. These formulas are essential in mathematics and physics, allowing for the simplification of complex trigonometric expressions.

Typology: Assignments

2020/2021

Uploaded on 10/08/2021

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DERIVADAS.
𝟏) 𝒅
𝒅𝒙(𝑪)= 𝟎
𝟏𝟓) 𝒅
𝒅𝒙(𝒂𝒗)= 𝒂𝒗 𝑳𝒏 𝒂 𝒅
𝒅𝒙(𝒗)
𝟐) 𝒅
𝒅𝒙(𝒙)= 𝟏
𝟏𝟔) 𝒅
𝒅𝒙(𝒆𝒗)= 𝒆𝒗 𝒅
𝒅𝒙(𝒗)
𝟑) 𝒅
𝒅𝒙(𝒖+ 𝒗− 𝒘)=𝒅
𝒅𝒙(𝒖)+𝒅
𝒅𝒙(𝒗)−𝒅
𝒅𝒙(𝒘)
𝟏𝟕) 𝒅
𝒅𝒙(𝑺𝒆𝒏 𝒗)= 𝑪𝒐𝒔 𝒗 𝒅
𝒅𝒙(𝒗)
𝟒) 𝒅
𝒅𝒙(𝒄 𝒗)= 𝑪 𝒅
𝒅𝒙(𝒗)
𝟏𝟖) 𝒅
𝒅𝒙(𝑪𝒐𝒔 𝒗)= −𝑺𝒆𝒏 𝒗 𝒅
𝒅𝒙(𝒗)
𝟓) 𝒅
𝒅𝒙(𝒙𝒏)= 𝒏 𝒙𝒏−𝟏
𝟏𝟗) 𝒅
𝒅𝒙(𝑻𝒂𝒏 𝒗)= 𝑺𝒆𝒄𝟐𝒗 𝒅
𝒅𝒙(𝒗)
𝟔) 𝒅
𝒅𝒙(𝒗)𝒏= 𝒏 (𝒗)𝒏−𝟏 𝒅
𝒅𝒙(𝒗)
𝟐𝟎) 𝒅
𝒅𝒙(𝑪𝒐𝒕 𝒗)= −𝑪𝒔𝒄𝟐𝒗 𝒅
𝒅𝒙(𝒗)
𝟕) 𝒅
𝒅𝒙(𝒖 𝒗)= (𝒖) 𝒅
𝒅𝒙(𝒗)+(𝒗) 𝒅
𝒅𝒙(𝒖)
𝟐𝟏) 𝒅
𝒅𝒙(𝑺𝒆𝒄 𝒗)= 𝑺𝒆𝒄 𝒗 𝑻𝒂𝒏 𝒗 𝒅
𝒅𝒙(𝒗)
𝟖) 𝒅
𝒅𝒙(𝒖
𝒗) = (𝒗)𝒅
𝒅𝒙(𝒖)−(𝒖) 𝒅
𝒅𝒙(𝒗)
𝒗𝟐
𝟐𝟐) 𝒅
𝒅𝒙(𝑪𝒔𝒄 𝒗)= −𝑪𝒔𝒄 𝒗 𝑪𝒐𝒕 𝒗 𝒅
𝒅𝒙(𝒗)
𝟗) 𝒅
𝒅𝒙(𝒗
𝒄) = 𝒅
𝒅𝒙(𝒗)
𝑪
𝟐𝟑) 𝒅
𝒅𝒙(𝑨𝒓𝒄 𝑺𝒆𝒏 𝒗)= 𝒅
𝒅𝒙(𝒗)
√𝟏− 𝒗𝟐
𝟏𝟎) 𝒅
𝒅𝒙(𝒄
𝒗) = −(𝒄) 𝒅
𝒅𝒙(𝒗)
𝒗𝟐
𝟐𝟒) 𝒅
𝒅𝒙(𝑨𝒓𝒄 𝑪𝒐𝒔 𝒗)= − 𝒅
𝒅𝒙(𝒗)
√𝟏− 𝒗𝟐
𝟏𝟏) 𝒅
𝒅𝒙(√𝒗)=𝒅
𝒅𝒙(𝒗)
𝟐 √𝒗
𝟐𝟓) 𝒅
𝒅𝒙(𝑨𝒓𝒄 𝑻𝒂𝒏 𝒗)= 𝒅
𝒅𝒙(𝒗)
𝟏+ 𝒗𝟐
𝟏𝟐) 𝒅
𝒅𝒙(√𝒗
𝒏)=𝒅
𝒅𝒙(𝒗)
𝒏 (𝒗)𝒏−𝟏
𝒏
𝟐𝟔) 𝒅
𝒅𝒙(𝑨𝒓𝒄 𝑪𝒐𝒕 𝒗)= − 𝒅
𝒅𝒙(𝒗)
𝟏+ 𝒗𝟐
𝟏𝟑) 𝒅
𝒅𝒙(𝑳𝒏 (𝒗))=𝒅
𝒅𝒙(𝒗)
(𝒗)
𝟐𝟕) 𝒅
𝒅𝒙(𝑨𝒓𝒄 𝑺𝒆𝒄 𝒗)= 𝒅
𝒅𝒙(𝒗)
𝒗 √𝒗𝟐−𝟏
𝟏𝟒) 𝒅
𝒅𝒙(𝑳𝒐𝒈 (𝒗))=𝑳𝒐𝒈 𝒆
𝒗 ∙ 𝒅
𝒅𝒙(𝒗)
𝟐𝟖) 𝒅
𝒅𝒙(𝑨𝒓𝒄 𝑪𝒔𝒄 𝒗)= − 𝒅
𝒅𝒙(𝒗)
𝒗 √𝒗𝟐−𝟏
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DERIVADAS.

𝒗

𝒗

𝒗

𝒗

𝒏

𝒏−𝟏

𝟐

𝒏

𝒏−𝟏

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝒏

𝒏−𝟏

𝒏

𝟐

𝟐

𝟐

IDENTIDADES TRIGONOMÉTRICAS.

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟐

𝟏

𝟐

𝟐

𝟐

ELABORÓ: ING. ROBERTO JUÁREZ MEDINA