## NDA Mathematics Trigonometry

The subtopics in the NDA Maths 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.

## NDA Maths Trigonometry Questions PDF

In the following table, we are sharing important questions of **NDA Maths Trigonometry** with detailed solutions which are very important for upcoming NDA & other defence exams.

NDA Trigonometry Questions |

NDA Trigonometry Questions- English PDF |

NDA Trigonometry Questions- Solution PDF |

The candidate should be well informed about the correct 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 Maths Trigonometry?**

One can follow the under-mentioned tips for proper preparation of Trigonometry in the Maths section of the NDA exam.

**Trigonometry Tricks for NDA: Memorize certain values**

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**

- 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**

- Mathematics is a subject that one can get a good command over by practising 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 Maths Trigonometry Formulae**

The candidate should prepare a revision sheet by writing down all the trigonometric 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 Maths 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 NDA examination. These simulations ensure that the candidates get a feel of the exam beforehand.

**Approximations and Calculations**

- The candidate should work on improving his calculations by practising 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 or guides**

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 NDA exam. Go through it to know the sources you can refer to while preparing this topic.

**Important Trigonometric Identities for NDA Exam**

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

- Sin
^{2}A + Cos^{2}A = 1 - 1 + Tan
^{2}A = Sec^{2}A - 1 + Cot
^{2}A = Cosec^{2}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 = Cos
^{2}A – Sin^{2 }A = (2 Cos^{2}A – 1) = (1 - Sin^{2 }A) - Tan 2A = 2 Tan A/ (1 – Tan
^{2}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 Sin
^{3 }A - Cos 3A = 4 Cos
^{3}A – 3 Cos A - Tan 3A = (3 Tan A – Tan
^{3}A) / (1 – 3 Tan^{2}A)

Do not forget to read the Mathematics preparation tips for the NDA exam** **to crack this section with a good score!

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