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CBSE Class 11 (Commerce) Sequences — practice questions

Explore 61 free Sequences questions in CBSE Class 11 (Commerce) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sequences questions and exercises with answers

Showing questions 1–30 of 61.

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 angle 90° in radians is:Read the answer and worked solution →The fundamental Pythagorean identity in trigonometry is:Read the answer and worked solution →The exact value of cos 60° is:Read the answer and worked solution →The double angle formula sin 2A equals: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 →The function f(x) = tan x has vertical asymptotes at:Read the answer and worked solution →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead 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
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Correct answer: B. $\pi/2$, the quarter turn on the clock dial face

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

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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

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

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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: $\sin 2A = 2\sin A\cos A$.

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More Mathematics topics

StatisticsSequences and SeriesTrigonometric FunctionsBinomial TheoremConic SectionsSets, Relations and FunctionsLimits and DerivativesPermutations and Combinations