Basic Concepts for Trigonometry CAT Questions
Trigonometry CAT Questions basically involve formulae-based questions. The candidates should learn basic concepts for Trigonometry CAT Questions in order to ace the CAT exam. To begin with, it is important to understand the basic concepts of hypotenuse, base, and perpendicular.
In a Right Triangle such as ABC
- AC is the Hypotenuse of the triangle.
- AB is the perpendicular of the triangle.
- BC is the base of the triangle.
Therefore, as per basic Trigonometry formula,
- Sin A = BC/AC
- cos A = AB/AC
- tan A = BC/AB
- cosec A = 1/ sin A
- sec A = 1/ cos A
- cot AA = 1/ tan A
Table of Angles for Trigonometry CAT Questions
The table of angles for Trigonometry CAT Questions helps to find the values of standard angles. The table consists of trigonometric ratios such as sine, cosine, tangent, cosecant, secant, cotangent. The candidates having complete knowledge of the table of angles will be able to solve Trigonometry CAT Questions easily. Given below is the table of angles:
Degrees | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
Radians | 0 | π/6 | π/4 | π/3 | π/2 | π | 3π/2 | 2π |
Sin θ | 0 | 1/2 | 1/√2 | √3/2 | 1 | 0 | -1 | 0 |
Cos θ | 1 | √3/2 | 1/√2 | 1/2 | 0 | -1 | 0 | 1 |
Tan θ | 0 | 1/√3 | 1 | √3 | ∞ | 0 | ∞ | 0 |
Cot θ | ∞ | √3 | 1 | 1/√3 | 0 | ∞ | 0 | ∞ |
Sec θ | 1 | 2/√3 | √2 | 2 | ∞ | -1 | ∞ | 1 |
Cosec θ | ∞ | 2 | √2 | 2/√3 | 1 | ∞ | -1 | ∞ |
CAT Trigonometry Questions
In order to ace the Trigonometry CAT Questions, the candidates must practice questions based on trigonometry regularly. As there is no fixed syllabus for CAT the candidates should not ignore this topic. Given below are some of the sample Trigonometry CAT Questions for reference:
Question: The maximum value of 3 cosx + 4 sinx + 8 is —------?
Answer: 13
Explanation:
Question: The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
Answer: 10√3 m
Explanation:
Here, b = 30 m, Angle of Elevation = 30º
tan 30º = p/30
⇒ 1/√3 = p/30
⇒ p = 10√3
∴ Height = 10√3 m
Question: If cos4θ - sin4θ = 3/4, then the value of 2cos2θ – 1 is:
Answer: 0.75
Explanation:
Given: cos4θ - sin4θ = ¾
We know that x2 − y2 = (x − y)(x + y)
So, (cos2θ − sin2θ)(cos2θ + sin2θ) = ¾
⇒ (cos2θ − sin2θ) = ¾
⇒ (cos2θ − 1 + cos2θ) = ¾
⇒ 2cos2θ − 1 = 3/4
Question: f sin(x + y) = cos(x – y), then the value of cos2x is:
Answer: ½
Explanation:
Given:
sin(x + y) = cos(x – y)
⇒ sin(x + y) = sin(90° – x + y)
⇒ x + y = 90° – x + y
⇒ 2x = 90°
⇒ x = 45°
Therefore, cos2x = cos245° = = 1/2
Trigonometry CAT Questions PDF
Candidates need to solve the different types of Trigonometry CAT Questions available. Candidates aspiring to take the CAT Exam can check the BYJU’S Exam Prep App for Trigonometry Practice Questions. Candidates can download the Trigonometry CAT Questions PDF given below
How to Solve Trigonometry CAT Questions?
In order to solve Trigonometry Questions for CAT, the candidates need to have a strong grip on trigonometry formulae. Candidates can solve Trigonometry Questions for CAT easily if they solve the questions by diagrammatically representing the given data. The candidates should solve CAT previous year's papers and mock tests in order to understand the type and difficulty level of Trigonometry CAT Questions.
Best Books for Trigonometry CAT Questions
Candidates can solve Trigonometry CAT Questions from different Quantitative Ability books available in the market. It is always suggested that the candidates should choose the books of renowned authors/publishers. Candidates can check the BYJU’S Exam Prep App for study notes based on Trigonometry CAT Questions and also attempt the practice questions. They can also get a detailed understanding of the topic by watching the live sessions on the BYJU’S Exam Prep App.
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