NDA Mathematics Trigonometry: Tips, NDA Trigonometry Questions PDF

By BYJU'S Exam Prep

Updated on: September 11th, 2023

NDA Mathematics Trigonometry section carries the 2nd highest weightage in the exam, after Algebra. So, it is important that one is familiar with the preparation tips & tricks of Trigonometry for NDA to score good marks in the mathematics section. With the help of this post, we will help the aspirants understand how they should prepare NDA Trigonometry questions for the upcoming exam.

So, read these NDA Mathematics Trigonometry preparation tips now to score full marks on this topic. We have also provided the NDA Trigonometry questions PDF along with the important Trigonometric identities that the students must remember.

NDA Mathematics Trigonometry

The subtopics in the NDA Mathematics Trigonometry are angles and their measure in degree and in radians, trigonometric ratios, sum and difference formulae, trigonometric identities, multiple and sub-multiple angles, properties of a triangle, inverse trigonometric functions, and applications of trigonometry.

This article will assist candidates in understanding how to prepare Trigonometry questions for the forthcoming NDA Exam.

NDA Trigonometry Questions PDF

In the following table, we are sharing important questions of NDA Mathematics Trigonometry with detailed solutions which are very important for upcoming exams.

NDA Trigonometry Questions PDF
NDA Trigonometry Questions – English PDF
NDA Trigonometry Questions – Solution PDF

The candidate should be well informed about the correct NDA Syllabus, that is, the topics and sub-topics and the marks distribution or weightage, before proceeding with his study plan to avoid any confusion. Solving at least 70% of the NDA Mathematics section with 90% accuracy will be beneficial for the candidate.

How to Prepare NDA Mathematics Trigonometry?

One can follow the under-mentioned tips for proper preparation of NDA Mathematics Trigonometry of the exam:

Memorize Certain Values for NDA Mathematics Trigonometry

The candidate should try remembering Trigonometric values such as Sin 18, Cos 18, Sin 36, Cos 36, etc. In addition to this, he should also memorize the trigonometric values of angles such as 0, 30, 45, 60, and 90 degrees.


Opt for Shortcuts to Solve NDA Trigonometry Questions

NDA Mathematics Trigonometry is one of those topics wherein shortcuts are extremely handy.

  • The candidate must learn various tricks and shortcuts for better time management.
  • For instance, to remember the table of trigonometric values, the candidate must only memorize the values of Sin 0, Sin 30, Sin 45, Sin 60, Sin 90. All other values for those angles, that is, Cos, Tan, Cot, Sec, and Cosec can be derived from the sine value as given below:


  • Tan A = Sin A / Cos A
  • Cot A = 1 / Tan A
  • Sec A = 1 / Cos A
  • Cosec A = 1 / Sin A

Prepare a Weekly Schedule Ahead of Every Week

NDA Mathematics Trigonometry is a subject that one can get a good command over by practicing it daily.

  • The candidate should prepare the entire week’s schedule in advance.
  • He should ensure that at least one sub-topic each from all the high-weightage topics, including trigonometry, is solved daily in order to ensure consistency and avoid losing touch.
  • The candidate should start with the difficult topics first if he has more time; else he should start by strengthening those topics that he finds easier and then move on to the difficult ones and look for shortcuts to understand them.

Prepare a Revision Sheet for NDA Mathematics Trigonometry Formulae

The candidate should prepare a revision sheet by writing down all the NDA Mathematics Trigonometry formulae in a systematic manner to aid in quick referencing and last-minute preparations.

Solve Mock papers and Previous Year’s Question Papers

Solving NDA Mock Tests will give the candidates an estimate of the amount of time to be spent per question and also help the candidate decide if he needs to work on his time management.

  • NDA Previous Year Question Papers will help the candidate get an idea about the paper pattern and the weightage given to each sub-topic under NDA Mathematics Trigonometry.
  • A regular NDA & NA paper has about 10-15 questions from trigonometry, with a majority of weightage being usually given to the measurement of angles and trigonometric ratios.
  • The candidate should be well informed about the context and sub-topic that these questions are derived from.
  • Test simulators are another way to get a real-time experience of the examination. These simulations ensure that the candidates get a feel of the exam beforehand.

Approximations and Calculations for NDA Mathematics Trigonometry

The candidate should work on improving his calculations by practicing mental arithmetic and quick math.

  • This includes memorizing squares and cubes of the first 10-15 digits, multiplication tables to 25, etc.
  • The candidate should also use approximations wherever possible. If the values given in the options deviate to a great degree, approximation comes in handy to get the solution faster.
  • However, if the values given in the options do not deviate much, the candidate should use the accurate values for calculation.

Use Reference Books for NDA Mathematics Trigonometry

While NCERT books give a brief but comprehensive idea about each topic, other reference books can also be used for more immersive and in-depth information about various topics of NDA Mathematics Trigonometry. We have already shared the list of useful NDA Books for different sections of the exam. Go through it to know the sources you can refer to while preparing this topic.

Important Trigonometric Formulas for NDA Exam

It is very important to memorize some identities which are helpful in solving the NDA Trigonometry questions in lesser time and effort.

  • Sin2 A + Cos2 A = 1
  • 1 + Tan2 A = Sec2 A
  • 1 + Cot2 A = Cosec2 A
  • Sin (A+B) = Sin A Cos B + Cos A Sin B
  • Sin (A-B) = Sin A Cos B – Cos A Sin B
  • Cos (A+B) = Cos A Cos B – Sin A Sin B
  • Cos (A-B) = Cos A Cos B + Sin A Sin B
  • Tan (A+B) = (Tan A + Tan B) / (1 – Tan A Tan B)
  • Tan (A-B) = (Tan A – Tan B) / (1 + Tan A Tan B)
  • Cot (A+B) = (Cot A – Cot B) / (1 – Cot A Cot B)
  • Cot (A-B) = (Cot A + Cot B) / (1 + Cot A Cot B)
  • Sin 2A = 2 Sin A Cos A
  • Cos 2A = Cos2 A – Sin2 A = (2 Cos2 A – 1) = (1 – Sin2 A)
  • Tan 2A = 2 Tan A/ (1 – Tan2 A)
  • Sin A Cos B = ½ (Sin (A+B) + Sin (A-B))
  • Cos A Sin B = ½ (Sin (A+B) – Sin (A-B))
  • Cos A Cos B = ½ (Cos (A+B) + Cos (A-B))
  • Sin A Sin B = ½ (Cos (A-B) – Cos (A+B))
  • Sin 3A = 3 Sin A – 4 Sin3 A
  • Cos 3A = 4 Cos3 A – 3 Cos A
  • Tan 3A = (3 Tan A – Tan3 A) / (1 – 3 Tan2 A)


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