krit.club logo

Trigonometry

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Angles, Degrees and Radian Measure

Subtopic

Angles, Degrees and Radian Measure under Trigonometry for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the total number of radians in one complete revolution?

    A.

    Ī€\pi

    B.

    2Ī€2\pi

    C.

    Ī€2\frac{\pi}{2}

    D.

    360Ī€360\pi

  2. 2.

    One radian is approximately equal to how many degrees?

    A.

    45∘45^\circ

    B.

    57.3∘57.3^\circ

    C.

    60∘60^\circ

    D.

    90∘90^\circ

  3. 3.

    How many degrees are in 14\frac{1}{4} of a complete revolution?

    A.

    45∘45^\circ

    B.

    180∘180^\circ

    C.

    90∘90^\circ

    D.

    360∘360^\circ

Download the worksheet for Trigonometry - Angles, Degrees and Radian Measure to practice offline. It includes additional chapter-level practice questions.

Trigonometric Functions and their Graphs

Subtopic

Trigonometric Functions and their Graphs under Trigonometry for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    At which of the following values does the graph of y=sin⁥(x)y = \sin(x) cross the x-axis?

    A.

    x=Ī€2x = \frac{\pi}{2}

    B.

    x=Ī€x = \pi

    C.

    x=3Ī€2x = \frac{3\pi}{2}

    D.

    x=Ī€4x = \frac{\pi}{4}

  2. 2.

    If tan⁥(θ)=1\tan(\theta) = 1, what is the smallest positive value of θ\theta in degrees?

    A.

    30∘30^\circ

    B.

    45∘45^\circ

    C.

    60∘60^\circ

    D.

    90∘90^\circ

  3. 3.

    What is the value of sec⁡2(x)−tan⁡2(x)\sec^2(x) - \tan^2(x) for all defined values of xx?

    A.

    00

    B.

    11

    C.

    −1-1

    D.

    22

Download the worksheet for Trigonometry - Trigonometric Functions and their Graphs to practice offline. It includes additional chapter-level practice questions.

Trigonometric Identities of Sum and Difference of Angles

Subtopic

Trigonometric Identities of Sum and Difference of Angles under Trigonometry for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Simplify sin⁡(A+B)−sin⁡(A−B)cos⁡(A−B)−cos⁡(A+B)\frac{\sin(A + B) - \sin(A - B)}{\cos(A - B) - \cos(A + B)}.

    A.

    tan⁥A\tan A

    B.

    cot⁥B\cot B

    C.

    tan⁥B\tan B

    D.

    cot⁥A\cot A

  2. 2.

    Simplify sin⁡(A+B)+sin⁡(A−B)cos⁡(A+B)+cos⁡(A−B)\frac{\sin(A + B) + \sin(A - B)}{\cos(A + B) + \cos(A - B)}.

    A.

    tan⁥A\tan A

    B.

    tan⁥B\tan B

    C.

    cot⁥A\cot A

    D.

    tan⁥(A+B)\tan(A + B)

  3. 3.

    The value of tan⁥(Ī€4+A)⋅tan⁥(Ī€4−A)\tan(\frac{\pi}{4} + A) \cdot \tan(\frac{\pi}{4} - A) is:

    A.

    00

    B.

    11

    C.

    tan⁥2A\tan^2 A

    D.

    −1-1

Download the worksheet for Trigonometry - Trigonometric Identities of Sum and Difference of Angles to practice offline. It includes additional chapter-level practice questions.

Trigonometric Identities of Multiple and Sub-multiple Angles

Subtopic

Trigonometric Identities of Multiple and Sub-multiple Angles under Trigonometry for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If cos⁥θ=12\cos \theta = \frac{1}{2}, what is the value of cos⁥2θ\cos 2\theta?

    A.

    11

    B.

    00

    C.

    12\frac{1}{2}

    D.

    −12-\frac{1}{2}

  2. 2.

    Which of the following is equivalent to the expression 1−cos⁡A2\frac{1 - \cos A}{2}?

    A.

    cos⁥2(A2)\cos^2 (\frac{A}{2})

    B.

    sin⁥2A\sin^2 A

    C.

    sin⁥2(A2)\sin^2 (\frac{A}{2})

    D.

    cos⁥2A\cos^2 A

  3. 3.

    Which of the following is the correct expression for tan⁥2A\tan 2A in terms of tan⁥A\tan A?

    A.

    2tan⁥A1+tan⁥2A\frac{2 \tan A}{1 + \tan^2 A}

    B.

    2tan⁡A1−tan⁡2A\frac{2 \tan A}{1 - \tan^2 A}

    C.

    tan⁡A1−tan⁡2A\frac{\tan A}{1 - \tan^2 A}

    D.

    2tan⁡A1−tan⁡A\frac{2 \tan A}{1 - \tan A}

Download the worksheet for Trigonometry - Trigonometric Identities of Multiple and Sub-multiple Angles to practice offline. It includes additional chapter-level practice questions.

Trigonometric Equations (General Solutions)

Subtopic

Trigonometric Equations (General Solutions) under Trigonometry for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The general solution of cot⁥θ=0\cot \theta = 0 is:

    A.

    θ=nĪ€\theta = n\pi

    B.

    θ=(2n+1)Ī€2\theta = (2n+1)\frac{\pi}{2}

    C.

    θ=2nĪ€\theta = 2n\pi

    D.

    θ=nĪ€+Ī€4\theta = n\pi + \frac{\pi}{4}

  2. 2.

    Find the general solution of tan⁥θ4=13\tan \frac{\theta}{4} = \frac{1}{\sqrt{3}}.

    A.

    θ=4nĪ€+2Ī€3\theta = 4n\pi + \frac{2\pi}{3}

    B.

    θ=nĪ€+Ī€6\theta = n\pi + \frac{\pi}{6}

    C.

    θ=4nĪ€+Ī€6\theta = 4n\pi + \frac{\pi}{6}

    D.

    θ=nĪ€+2Ī€3\theta = n\pi + \frac{2\pi}{3}

  3. 3.

    What is the general solution of 2cos⁥2θ=12 \cos 2\theta = 1?

    A.

    θ=nĪ€ÂąĪ€3\theta = n\pi \pm \frac{\pi}{3}

    B.

    θ=nĪ€ÂąĪ€6\theta = n\pi \pm \frac{\pi}{6}

    C.

    θ=2nĪ€ÂąĪ€6\theta = 2n\pi \pm \frac{\pi}{6}

    D.

    θ=nĪ€2ÂąĪ€6\theta = \frac{n\pi}{2} \pm \frac{\pi}{6}

Download the worksheet for Trigonometry - Trigonometric Equations (General Solutions) to practice offline. It includes additional chapter-level practice questions.

Trigonometry - ICSE Class 11 Maths Notes & Revision | Krit.club