A new start to Class 11th Trigonometry; Tips, Tricks and More

Trigonometry is a discipline of mathematics that studies triangles and cycles. How to utilize a triangle’s attributes to calculate the height of a tree or a building is the most fundamental application that we learn in school. The sciences of astronomy and navigation, as well as those of architecture and land surveying, all share the same concepts. Many equations and functions are included in the diverse branch, which some students may find challenging to comprehend. However, trigonometry just requires regular practice, just like any other area of mathematics.. You’ll discover how to solve equations that don’t have a real-world answer. So let’s get started and swiftly go over this crucial section of the class 11 math curriculum.

Things under the Chapter

• Formulas

Well that was ironical.

Well, for the new people out there, we have been covering a lot of chapters of both class 11th and 12th, be it math, Physics or Chemistry. They’re filled with resources, tips and tricks. You can scroll down our page for more such Blogs, Happy Reading.

And, Trigonometry is big, for sure it is, But you don’t need to worry about anything, Doubtconnect’s got your back.

(Source: A.V.T.E.)

Some other Properties

Co-function identities:

sin(90°−x) = cos x

cos(90°−x) = sin x

tan(90°−x) = cot x

cot(90°−x) = tan x

sec(90°−x) = cosec x

cosec(90°−x) = sec x

Periodicity identities:

sin (π/2 — A) = cos A & cos (π/2 — A) = sin A

sin (π/2 + A) = cos A & cos (π/2 + A) = — sin A

sin (3π/2 — A) = — cos A & cos (3π/2 — A) = — sin A

sin (3π/2 + A) = — cos A & cos (3π/2 + A) = sin A

sin (π — A) = sin A & cos (π — A) = — cos A

sin (π + A) = — sin A & cos (π + A) = — cos A

sin (2π — A) = — sin A & cos (2π — A) = cos A

sin (2π + A) = sin A & cos (2π + A) = cos A

Sum & Difference Identities:

sin(x+y) = sin(x)cos(y)+cos(x)sin(y)

cos(x+y) = cos(x)cos(y)–sin(x)sin(y)

tan(x+y) = (tan x + tan y)/ (1−tan x •tan y)

sin(x–y) = sin(x)cos(y)–cos(x)sin(y)

cos(x–y) = cos(x)cos(y) + sin(x)sin(y)

tan(x−y) = (tan x–tan y)/ (1+tan x • tan y)

Double Angle Identities:

sin(2x) = 2sin(x) • cos(x) = [2tan x/(1+tan2 x)]

cos(2x) = cos2(x)–sin2(x) = [(1-tan2 x)/(1+tan2 x)]

cos(2x) = 2cos2(x)−1 = 1–2sin2(x)

tan(2x) = [2tan(x)]/ [1−tan2(x)]

sec (2x) = sec2 x/(2-sec2 x)

cosec (2x) = (sec x. cosec x)/2

Triple Angle Identities:

Sin 3x = 3sin x — 4sin3x

Cos 3x = 4cos3x-3cos x

Tan 3x = [3tanx-tan3x]/[1–3tan2x]

Product identities:

sinx⋅cosy=[sin(x+y)+sin(x−y)]/2

cosx⋅cosy=[cos(x+y)+cos(x−y)]/2

sinx⋅siny=[cos(x−y)−cos(x+y)]/2

Sum to Product Identities:

sinx+siny=2sin([x+y]/2)cos([x−y]/2)

sinx−siny=2cos([x+y]/2)sin([x−y]/2)

cosx+cosy=2cos([x+y]/2)cos([x−y]/2)

cosx−cosy=−2sin([x+y]/2)sin([x−y]/2)

Trigonometry Class 11 Key Notes

According to how well you train, Trigo is one of the mathematical topics that requires a lot of practice (Integration, which you are familiar with in class 12). Therefore, once you have finished the entire chapter, continue to practice by answering at least 15–20 questions every week or every 15 days. You will benefit in the long run.

How can I get access to the notes?

There are numerous notes online for Boards, Mains, and Advance exams, among others. So we will provide recommendations for you based on those needs.

You ought to have finished your NCERT for basics by this point.

Boards — Apni Kaksha | Physics Wallah

Mains — Unacademy JEE | Physics Wallah

Advance — GB sir Sheets | Any good Coaching material

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