The document defines trigonometric functions as the ratio of sides of a right triangle associated with its angles. It introduces the six basic trigonometric functions - sine, cosine, tangent, cosecant, secant and cotangent. It also discusses the Law of Cosines, which allows calculating the value of one side of a triangle given the angle opposite it and the other two sides. The Law of Sines relates the ratios of sides to sines of angles in any triangle. Finally, it presents several trigonometric identities, such as reciprocal, quotient and Pythagorean identities, that are true for all values of the variables involved.
For any right triangle
Define the sine, cosine, and tangent ratios and their inverses
Find the measure of a side given a side and an angle
Find the measure of an angle given two sides
Use trig ratios to solve problems
this is a slide share on introduction of trigonometry this slide share includes every single information about the lesson trigonometry and this is best for class 10
For any right triangle
Define the sine, cosine, and tangent ratios and their inverses
Find the measure of a side given a side and an angle
Find the measure of an angle given two sides
Use trig ratios to solve problems
this is a slide share on introduction of trigonometry this slide share includes every single information about the lesson trigonometry and this is best for class 10
Power point presentation based on trigonometry, easy to understand, for class XI, good for learning faster and easier, also could be understood by below class XI.
The data is present below the pictures so as to edit it as per your needs. I wanted to use good fonts and this was the only way i could do it as the fonts would not be available on your computer.
a project on trigonometry. pls do like it and slip all the slides i am myself from india creating alot of cool content on mathematics and travel and science and biology. pls do follow me for cool contents. pls do chat with for more ideas .and subscribe to my channel in youtube mak kitchen. i am a student. watch this presentation as a video in
https://www.youtube.com/watch?v=PxEZwSjCOuk
Power point presentation based on trigonometry, easy to understand, for class XI, good for learning faster and easier, also could be understood by below class XI.
The data is present below the pictures so as to edit it as per your needs. I wanted to use good fonts and this was the only way i could do it as the fonts would not be available on your computer.
a project on trigonometry. pls do like it and slip all the slides i am myself from india creating alot of cool content on mathematics and travel and science and biology. pls do follow me for cool contents. pls do chat with for more ideas .and subscribe to my channel in youtube mak kitchen. i am a student. watch this presentation as a video in
https://www.youtube.com/watch?v=PxEZwSjCOuk
This math presentation tutorial provides a basic introduction to trigonometry. It explains trigonometry ratios, how to evaluate it using the right triangle trigonometry and SOHCAHTOA. In trigonometry explains hypotenuse, adjacent and opposite side.
This powerpoint includes:
Triangles and Quadrangles
Definition, Types, Properties, Secondary part, Congruency and Area
Definitions of Triangles and Quadrangles
Desarguesian Plane
Mathematician Desargues and His Background
Harmonic Sequence of Points/Lines
Illustrations and Animated Lines.
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2. Las funciones trigonométricas se definen comúnmente como el cociente entre dos lados
de un triangulo rectángulo, asociado a sus ángulos. Existen seis funciones trigonométricas
básicas:
¿Que son?
𝑆𝑒𝑛 𝛼 =
𝐶𝑜
ℎ
𝐶𝑜𝑠 𝛼 =
𝐶𝑎
ℎ
Tan 𝛼 =
𝐶𝑜
𝐶𝑎
𝐶𝑠𝑐 𝛼 =
ℎ
𝐶𝑜
𝑆𝑒𝑐 𝛼 =
ℎ
𝐶𝑎
𝐶𝑜𝑡 𝛼 =
𝐶𝑎
𝐶𝑜
3. LEY DEL COSENO
Permite encontrar el valor de uno de los lados de un triángulo conociendo de
antemano el ángulo opuesto a dicho lado y los valores de los otros dos lados.
𝑐2 = 𝑎2 + 𝑏2 − 2𝑎 ∙ 𝑏 ∙ cos 𝛼
𝑎2 = 𝑏2 + 𝑐2 − 2𝑏 ∙ 𝑐 ∙ cos 𝛽
𝑏2 = 𝑎2 + 𝑐2 − 2𝑎 ∙ 𝑐 ∙ cos 𝜙
4. LEY DEL SENO
La Ley del Seno relaciona 3 igualdades que siempre se cumplen entre los lados y
ángulos de un triángulo cualquiera.
𝑎
𝑠𝑒𝑛 𝛽
=
𝑐
𝑠𝑒𝑛 𝛼
=
𝑏
𝑠𝑒𝑛 𝜙
5. IDENTIDADES TRIGONOMETRICAS
Las identidades trigonométricas son ecuaciones que involucran las funciones
trigonométricas que son verdaderas para cada valor de las variables involucradas.
Entre las identidades trigonométricas encontramos las siguientes:
𝑰𝒅𝒆𝒏𝒕𝒊𝒅𝒂𝒅𝒆𝒔 𝒓𝒆𝒄𝒊𝒑𝒓𝒐𝒄𝒂𝒔
csc 𝑥 =
1
sen 𝑥
⟹ csc 𝑥 ∙ sen 𝑥 = 1
sec 𝑥 =
1
cos 𝑥
⟹ sec 𝑥 ∙ cos 𝑥 = 1
c𝑜𝑡 𝑥 =
1
tan 𝑥
⟹ c𝑜𝑡 𝑥 ∙ tan 𝑥 = 1
⟸ sen 𝑥 =
1
csc 𝑥
⟸ se𝑐 𝑥 =
1
c𝑜𝑠 𝑥
⟸ tan 𝑥 =
1
c𝑜𝑡 𝑥
6. 𝑰𝒅𝒆𝒏𝒕𝒊𝒅𝒂𝒅𝒆𝒔 𝒄𝒐𝒄𝒊𝒆𝒏𝒕𝒆
sen 𝑥 =
𝑐𝑜
ℎ cos 𝑥 =
𝑐𝑎
ℎ
𝑐𝑜 = ℎ ∙ sen 𝑥 𝑐𝑎 = ℎ ∙ cos 𝑥
cot 𝑥 =
𝑐𝑎
𝑐𝑜
tan 𝑥 =
𝑐𝑜
𝑐𝑎
tan 𝑥 =
ℎ ∙ sen 𝑥
ℎ ∙ cos 𝑥 cot 𝑥 =
ℎ ∙ cos 𝑥
ℎ ∙ sen 𝑥
tan 𝑥 =
sen 𝑥
cos 𝑥
cot 𝑥 =
cos 𝑥
sen 𝑥
𝑰𝒅𝒆𝒏𝒕𝒊𝒅𝒂𝒅𝒆𝒔 𝒑𝒊𝒕𝒂𝒈𝒐𝒓𝒊𝒄𝒂𝒔
1 = 𝑠𝑒𝑛2
𝑥 + 𝑐𝑜𝑠2
𝑥
𝑐𝑠𝑐2
𝑥 = 1 + 𝑐𝑜𝑡2
𝑥
𝑠𝑒𝑐2
𝑥 = 𝑡𝑎𝑛2
𝑥 + 1
