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JEE Main Trigonometric Functions — practice questions — page 2

Explore 51 free Trigonometric Functions questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Trigonometric Functions questions and exercises with answers

Showing questions 31–51 of 51.

In earlier classes, trigonometric ratios were defined for angles that are:Read the answer and worked solution →Trigonometric ratios were originally ratios of sides of a triangle that is:Read the answer and worked solution →The definitions are extended to any angle using measure in:Read the answer and worked solution →The unit circle used to define the functions is centred at the:Read the answer and worked solution →For a point P with coordinates a and b on the unit circle, cos x equals:Read the answer and worked solution →Because P lies on the unit circle, cos squared x plus sin squared x equals:Read the answer and worked solution →Angles that are integral multiples of a right angle are called:Read the answer and worked solution →The values of sin x and cos x repeat after an interval of:Read the answer and worked solution →In the unit circle picture, OA is the initial side and OB is the:Read the answer and worked solution →The coordinates of the quadrantal point A on the unit circle are:Read the answer and worked solution →The coordinates of the quadrantal point B on the unit circle are:Read the answer and worked solution →The repeating behaviour of sin and cos makes them functions that are:Read the answer and worked solution →Cosecant and secant repeat after the same interval as sin and cos, namely:Read the answer and worked solution →True or false on trigonometric functionsRead the answer and worked solution →Quick picks on trigonometric functionsRead the answer and worked solution →Match each term to its meaningRead the answer and worked solution →Degree or radianRead the answer and worked solution →Old definition or newRead the answer and worked solution →Define sin and cos on the unit circleRead the answer and worked solution →Fill the gaps on trigonometric functionsRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →

Worked practice questions

In earlier classes, trigonometric ratios were defined for angles that are:

  1. Reflex
  2. Zero
  3. Acute
  4. Obtuse
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Correct answer: C. Acute

1. The old definition used the sides of a right angled triangle. 2. Such a triangle only has angles below ninety degrees. 3. So the ratios were defined for acute angles. _Source: syllabus Mathematics, Chapter 3, Trigonometric Functions._

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Trigonometric ratios were originally ratios of sides of a triangle that is:

  1. Equilateral
  2. Isosceles
  3. Obtuse angled
  4. Right angled
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Correct answer: D. Right angled

1. The ratios compare two sides of a triangle. 2. The triangle must contain a right angle. 3. So they are ratios of sides of a right angled triangle. _Source: syllabus Mathematics, Chapter 3, Trigonometric Functions._

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The definitions are extended to any angle using measure in:

  1. Radians
  2. Degrees
  3. Minutes
  4. Seconds
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Correct answer: A. Radians

1. Acute angles alone are too limiting. 2. The extension uses arc length on a unit circle. 3. So it works in terms of radian measure. _Source: syllabus Mathematics, Chapter 3, Trigonometric Functions._

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