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Bihar Board Class 11 Science Mathematics · Ch 3: Trigonometric Functions

Bihar Board Class 11 Science Mathematics · Ch 3: Trigonometric Functions is an online chapter test in the Bihar Board Class 11 Science pattern, covering Trigonometric Functions. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.

30
Questions
20
Minutes
30
Marks
None
Negative marking
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Topics in this test

TopicQuestions
Trigonometric Functions30

Difficulty: 7 medium · 23 hard

Trigonometric Functions MCQ questions with answers

The first 3 of 30 questions. Unlock the series for the rest, each with a solution.

  1. Q1. Three of the following four values are equal. Which one is the odd one out?

    निम्नलिखित चार मानों में से तीन समान हैं। इनमें से असंगत (अलग) कौन-सा है?

    • A. $\sin 30^\circ$
    • B. $\cos 60^\circ$
    • C. $\cos 300^\circ$
    • D. $\sin 210^\circ$
    Solution

    $\cos 60^\circ = \sin 30^\circ = \cos 300^\circ = \frac{1}{2}$, but $\sin 210^\circ = -\frac{1}{2}$ (third quadrant, where sine is negative).

    $\cos 60^\circ = \sin 30^\circ = \cos 300^\circ = \frac{1}{2}$, परंतु $\sin 210^\circ = -\frac{1}{2}$ (तीसरा चतुर्थांश, जहाँ ज्या ऋणात्मक होती है)।

  2. Q2. Assertion (A): $\sin 1 > \sin 1^\circ$. Reason (R): $1$ radian $\approx 57.3^\circ$, and the sine function is increasing on $\left(0^\circ, 90^\circ\right)$. Choose the correct option.

    अभिकथन (A): $\sin 1 > \sin 1^\circ$। कारण (R): $1$ रेडियन $\approx 57.3^\circ$, और ज्या फलन $\left(0^\circ, 90^\circ\right)$ पर वर्धमान है। सही विकल्प चुनिए।

    • A. Both A and R are true, and R is the correct explanation of A. / A और R दोनों सत्य हैं, और R, A की सही व्याख्या है।
    • B. Both A and R are true, but R is not the correct explanation of A. / A और R दोनों सत्य हैं, परंतु R, A की सही व्याख्या नहीं है।
    • C. A is false but R is true. / A असत्य है परंतु R सत्य है।
    • D. A is true but R is false. / A सत्य है परंतु R असत्य है।
    Solution

    $1$ radian $\approx 57.3^\circ$ is a much larger angle than $1^\circ$, and since sine increases from $0^\circ$ to $90^\circ$, $\sin 1 > \sin 1^\circ$; so R correctly explains A.

    $1$ रेडियन $\approx 57.3^\circ$ जो $1^\circ$ से बहुत बड़ा कोण है, और चूँकि ज्या $0^\circ$ से $90^\circ$ तक वर्धमान है, अतः $\sin 1 > \sin 1^\circ$; इसलिए R, A की सही व्याख्या करता है।

  3. Q3. The maximum value of $3\sin x + 4\cos x$ is:

    $3\sin x + 4\cos x$ का अधिकतम मान है:

    • A. $1$
    • B. $7$
    • C. $5$
    • D. $25$
    Solution

    An expression of the form $a\sin x + b\cos x$ has maximum value $\sqrt{a^2 + b^2}$; here $\sqrt{3^2 + 4^2} = \sqrt{25} = 5$.

    $a\sin x + b\cos x$ के रूप के व्यंजक का अधिकतम मान $\sqrt{a^2 + b^2}$ होता है; यहाँ $\sqrt{3^2 + 4^2} = \sqrt{25} = 5$।

Frequently asked questions

How many questions are in the Bihar Board Class 11 Science Mathematics · Ch 3: Trigonometric Functions?

30 questions for 30 marks, to be answered in 20 minutes.

Is there negative marking in the Bihar Board Class 11 Science Mathematics · Ch 3: Trigonometric Functions?

No — wrong answers are not penalised in this test.

Which topics does the Bihar Board Class 11 Science Mathematics · Ch 3: Trigonometric Functions cover?

Trigonometric Functions (30 questions).

Is the Bihar Board Class 11 Science Mathematics · Ch 3: Trigonometric Functions free?

It is part of the BSEB Class 11 Science Test Series 2027 — Chapter-wise + Full Tests (36 tests, ₹149). You can first try Biology · Ch 1: The Living World for free.

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Trigonometric Functions MCQ | Bihar Board Class 11 Science