Start learning →

JEE Advanced Trigonometric Functions — practice questions

Explore 8 free Trigonometric Functions questions in JEE Advanced 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 1–8 of 8.

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 →

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 Advanced. Read explanations as you go. No signup form needed to start.

Practise Trigonometric Functions →

More Mathematics topics

Vector Algebra and 3D GeometryStatistics and ProbabilityContinuity, Differentiability & DerivativesIntegrals and ApplicationsMatrices and DeterminantsRelations, Functions & Inverse TrigonometryStraight Lines and Conic SectionsDeterminants