Trigonometry Techniques

No Reviews Yet

Miyapur, Hyderabad

Course ID: 43240

Miyapur, Hyderabad

Students Interested 0 (Seats Left 0)

No Reviews Yet

Date and Time

Not decided yet.

KM Chary picture
KM Chary

B.Tech EEE

5 Years of Experience

About KM Chary

I have an enormous interest in teaching. I started teaching since 2010, and faced many students. I want to diagnose students and clear their doubts in subjects.
No reviews currently Be the First to Review

About the Course

I teach all techniques in Trigonometry actually it is a one tough subject I can deal it easy way and I assume that you love my teaching. Like how to take sin angle and cos angle. Every student will face difficult in exam while dealing this subject and don't know how to take angle in trigonometry. And you will learn easy table to remember all angles. Like 


Sine, Cosine and Tangent


The main functions in trigonometry are Sine, Cosine and Tangent


They are simply one side of a right-angled triangle divided by another.


For any angle "θ":


sin=opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent


(Sine, Cosine and Tangent are often abbreviated to sin, cos and tan.)


 



Example: What is the sine of 35°?


triangle 2.8 4.0 4.9 has 35 degree angle


Using this triangle (lengths are only to one decimal place):


sin(35°) = Opposite Hypotenuse = 2.84.90.57...







Trigonometry is defined as one of the branches of mathematics that deals with the relationships that involve lengths and also the angles of triangles. In a simple manner, we can say that Trigonometry is the study of triangles. The word trigonometry was derived from the Greek word, where, â??TRIâ?? means Threeâ??GONâ?? means sides and whereas the â??METRONâ?? ways to measure. This concept is given to us by a Greek mathematician Hipparchus.


To be more specific, trigonometry is all about a right-angled triangle, where one of the internal angles measure about 90°. Moreover, it is one of those divisions in mathematics that helps in finding the angles and missing sides of a triangle. In trigonometry, the angles are either measured in radians or degrees.


This branch divides into two sub-branches called plane trigonometry and the spherical geometry. Trigonometry, in general, is about the trigonometric formulas,  trigonometric ratios, and functions, Right-Angled Triangles, etc. Let us study all these topics in detail.


Trigonometric Functions and Ratios:


The trigonometric ratios of a triangle are also called the trigonometric functions. There are three essential trigonometric functions in trigonometry known as Sine, cosine, and tangent and abbreviated as Sin, Cos, and Tan. How are these ratios or functions, evaluated in the case of a right-angled triangle?


Trigonometry


Consider the right-angled triangle, where the longest side is called the hypotenuse, and the sides opposite to the hypotenuse is referred to as the adjacent and opposite. The trigonometric functions or the ratios of this triangle is calculated by the below formulas.



  • Sine ratio or Function is given as, sin θ = Opposite / Hypotenuse

  • Tangent ratio or Function is given as, tanθ = Opposite / Adjacent

  • Cosine ratio or Function is given as, cos θ = Adjacent / Hypotenuse


Similar to the ratios sine, cosine and tangent, there are other three trigonometric ratios or functions in trigonometry called Cotangent,  Cosecant, and Secant. The values of these trigonometric functions are evaluated by using the following formulas



  • Cosecant Function- cosec θ = Hypotenuse / Opposite

  • Cotangent Function- cot θ = Adjacent / Opposite

  • Secant Function â?? sec θ = Hypotenuse / Adjacent


Inverse Trigonometric Ratios:


The inverse trigonometric functions are those functions which involve the inverses of cosine, tangent, and Sine. These opposites, are called as inverse trigonometric functions. By considering the right-angled triangle, the inverse functions, are given below-



  • Cosec θ = 1/sin θ = Hypotenuse/opposite

  • Cot θ = 1/Tan θ = adjacent / opposite

  • Sec θ = 1/Cos θ = hypotenuse/ adjacent


Trigonometric Ratios of Specific Angles:


Suppose if you are given the question â?? In a right-angled triangle ABC, if one side of the triangle is 45°, then what is the value of other side or angle?


For such questions, the below table will help you out in finding the trigonometric and inverse trigonometric ratios of different Angles of a triangle.


Trigonometry


 Pythagoras Theorem:

The Pythagoras Theorem helps to know the relationship between the trigonometric identities, which, is discussed in the next sub-heading.


Pythagoras Theorem


Pythagoras theorem states â?? the square of the hypotenuse (c )equals to the sum of the squares of the adjacent( b ) and opposite ( a).â??


In equation form, it is, given as: c2  =a2 + b2  



Trigonometric Identities:


An identity is a form of equation true for all the values of the variables, which both the sides of an equation is defined. These variables are either in the shape of a statement or even specified. The Pythagoras theorem is also one of the Trigonometric Identities. The Trigonometric Identities are the equations which are true in the case of Right Angled Triangles.


Some of the other identities or rather say formulas in trigonometry, are as given below-




  1. Pythagorean Identities-





  • Sin ² θ + cos ² θ = 1

  • tan 2 Î¸ + 1 = sec2 Î¸

  • Cot2 Î¸ + 1 = cosec2 Î¸

  • sin 2θ = 2 sin θ cos θ

  • cos 2θ = cos² θ â?? sin² θ

  • tan 2θ = 2 tan θ / (1 â?? tan² θ)

  • cot 2θ = (cot² θ â?? 1) / 2 cot θ




  1. Sum and Difference identities-




sin(Ï?/2â??u)=cosucos(Ï?/2â??u)=sinutan(Ï?/2â??u)=cotu


cosec(Π/2â??u)=sec(u)sec(Π/2â??u)=cosec(u)cot(Π/2â??u)=tan(u)


 




  • Sine Laws-




 


a/sin(A)=b/sin(B)=c/sin(C)=2R=abc/2Î?


Area=Î?=1/2absin(C)


 




  • Cosine Laws-




 


Area=Î?=â??s(sâ??a)(sâ??b)(sâ??c)=abc/4R


 




  • Tangent Laws-




 


(aâ??b)/(a+b)=tan[1

Reviews

No reviews currently Be the First to Review

Discussions

Students Interested 0 (Seats Left 0)

Post your requirement and let us connect you with best possible matches for Class IX-X Tuition Post your requirement now

Enquire

Submit your enquiry for Trigonometry Techniques

Please enter valid question or comment

Please enter your name.

Please enter valid Phone Number

Please enter the Pin Code.

By submitting, you agree to our Terms of use and Privacy Policy

Connect With KM

You have reached a limit!

We only allow 20 Tutor contacts under a category. Please send us an email at support@urbanpro.com for contacting more Tutors.

You Already have an UrbanPro Account

Please Login to continue

Please Enter valid Email or Phone Number

Please Enter your Password

Please enter the OTP sent to your registered mobile number.

Please Enter valid Password or OTP

Forgot Password? Resend OTP OTP Sent

Sorry, we were not able to find a user with that username and password.

We have sent you an OTP to your register email address and registered number. Please enter OTP as Password to continue

Further Information Received

Thank you for providing more information about your requirement. You will hear back soon from the trainer

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 25 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 6.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more