Trigonometry P7




 
 About Trigonometry



Let's discuss about what exactly Trigonometry is?

Trigonometry Origin:  Trigonometry has been taken from Greek trigōnon, meaning "triangle" and metron, meaning "measure".

Hence Trigonometry can be defined as It is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Remark: Trigonometric Identities are used if Triangle is Right Angle(One Angle must be 90 degree.). If not then first convert it into Right Angle Triangle then apply trigonometric Identities.

Let's  see here...


Fig.1

Idea about Side Names with respect to Angle 
θ (Theta)





Right Angle Triangle
Fig.2

In Fig.2  We are taking Angle <A (Angle  A),  so just opposite of the Angle <A is  called Perpendicular or Opposite Side.
Base is also called Adjacent Side.  



See here same concept....

Note: If We take 
β as Angle then sinβ , cosβ  , tanβ  etc.  then all will be different, Because their Adjacent Side and Opposite Side are different.




Some Important Trigonometric Angle Values and Formulas



Values of Angles(here Angle in Degree).





Pythagorean identity



Trigo Formulas



Sum-to-Product Formulas



















Trigonometric Quadrant 



Quadrant I - IV



Angle Limits in Each Quadrant




Angles Defined.



Concept of Quadrant Angles

Quadrant wise formulas.


Note: No need to memorize it so  just follow me, I will tell you a trick  to solve it. If you understand these formulas then you can solve maximum questions from Trigonometry Chapter.



stay tune......................















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