Start learning →

JEE Main Trigonometric Functions — practice questions

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

Practise Trigonometric Functions with Quill →

Trigonometric Functions questions and exercises with answers

Showing questions 1–30 of 51.

An angle of $90^\circ$ in radians is:Read the answer and worked solution →The value of $\sin(\pi/4)$ is:Read the answer and worked solution →The identity $\sin 2A$ equals:Read the answer and worked solution →The fundamental Pythagorean identity in trigonometry is:Read the answer and worked solution →The general solution of sin θ = 1/2 is:Read the answer and worked solution →The principal value range of sin⁻¹(x) is:Read the answer and worked solution →In a triangle ABC, the Law of Sines states:Read the answer and worked solution →Match each trigonometric identity to its equivalent.Read the answer and worked solution →Positive or negative angleRead the answer and worked solution →Which ratios are positiveRead the answer and worked solution →Type the trig functionRead the answer and worked solution →Pop what is defined everywhereRead the answer and worked solution →Which unit of angleRead the answer and worked solution →One word is wrongRead the answer and worked solution →Order the build upRead the answer and worked solution →Sine and cosineRead the answer and worked solution →Which one does not belongRead the answer and worked solution →Which way does it turnRead the answer and worked solution →Spot the false statementRead the answer and worked solution →Which ones belongRead the answer and worked solution →Knock out the true statementsRead the answer and worked solution →Trigonometry bingoRead the answer and worked solution →The two units used for measuring angles are the degree and the:Read the answer and worked solution →A degree is divided into how many minutes?Read the answer and worked solution →A minute of angle is divided into how many seconds?Read the answer and worked solution →One radian is the angle subtended at the centre by an arc of length:Read the answer and worked solution →The radian is defined using a circle whose radius is:Read the answer and worked solution →A full revolution of the initial side subtends an angle of:Read the answer and worked solution →In a circle of radius r, an arc of length r subtends an angle of:Read the answer and worked solution →Equal arcs of a circle subtend at the centre angles that are:Read the answer and worked solution →

Worked practice questions

An angle of $90^\circ$ in radians is:

  1. $\pi$, the full half-turn around the clock face here
  2. $\pi/2$, the quarter turn on the clock dial face
  3. $2\pi$, the full revolution of the clock hand once
  4. $\pi/4$, half of the quarter turn on the clock
Show answer and solution

Correct answer: B. $\pi/2$, the quarter turn on the clock dial face

$90^\circ = 90\cdot \pi/180 = \pi/2$ rad.

Open this question →

The value of $\sin(\pi/4)$ is:

  1. $1/2$, the value of the standard sine at thirty degrees
  2. $\sqrt 3/2$, the standard cosine at thirty degrees here
  3. $1/\sqrt 2$, the standard sine value at $\pi/4$ on the chart
  4. $1$, the sine of $\pi/2$ on the clock dial reading
Show answer and solution

Correct answer: C. $1/\sqrt 2$, the standard sine value at $\pi/4$ on the chart

$\sin(\pi/4) = \sin 45^\circ = 1/\sqrt 2$.

Open this question →

The identity $\sin 2A$ equals:

  1. $2\sin A\cos A$, the standard double-angle formula on the chart
  2. $\sin^2 A + \cos^2 A$, equal to $1$ by Pythagorean identity
  3. $2\sin^2 A$, missing the cosine factor in the formula
  4. $\sin A + \cos A$, the simple sum of the trig functions
Show answer and solution

Correct answer: A. $2\sin A\cos A$, the standard double-angle formula on the chart

Double-angle: $\sin 2A = 2\sin A\cos A$.

Open this question →

How to practise

  1. Choose a Trigonometric Functions question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Trigonometric Functions practice for JEE Main. Read explanations as you go. No signup form needed to start.

Practise Trigonometric Functions →

More Mathematics topics

Statistics and ProbabilityDeterminantsVector Algebra and 3D GeometryContinuity, Differentiability & DerivativesDifferential EquationsIntegrals and ApplicationsMatrices and DeterminantsRelations, Functions & Inverse Trigonometry