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trigonometry angles principal hard class11 MCQ Questions for Class 11

trigonometry angles principal hard class11 se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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4 questions tagged with trigonometry angles principal hard class11.

Question 1/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(\theta\) का मुख्य कोण \(280^\circ\) है, तो \(-\theta\) का मुख्य कोण क्या होगा?

If the principal angle of \(\theta\) is \(280^\circ\), what is the principal angle of \(-\theta\)?

Explanation opens after your attempt
Correct Answer

A. \(80^\circ\)

Step 1

Concept

\(-280^\circ+360^\circ=80^\circ\). In exams, add \(360^\circ\) to make a negative angle positive.

Step 2

Why this answer is correct

The correct answer is A. \(80^\circ\). \(-280^\circ+360^\circ=80^\circ\). In exams, add \(360^\circ\) to make a negative angle positive.

Step 3

Exam Tip

\(-280^\circ+360^\circ=80^\circ\)। परीक्षा में ऋणात्मक कोण को धनात्मक बनाने के लिए \(360^\circ\) जोड़ें।

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Question 2/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि एक कोण \(\frac{31\pi}{3}\) है, तो उसका मुख्य कोण क्या होगा?

If an angle is \(\frac{31\pi}{3}\), what is its principal angle?

Explanation opens after your attempt
Correct Answer

A. \(\frac{\pi}{3}\)

Step 1

Concept

Remove \(\frac{30\pi}{3}=10\pi\) from \(\frac{31\pi}{3}\) to get \(\frac{\pi}{3}\). In exams, remove the nearest multiple of \(2\pi\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{3}\). Remove \(\frac{30\pi}{3}=10\pi\) from \(\frac{31\pi}{3}\) to get \(\frac{\pi}{3}\). In exams, remove the nearest multiple of \(2\pi\).

Step 3

Exam Tip

\(\frac{31\pi}{3}\) में से \(\frac{30\pi}{3}=10\pi\) हटाने पर \(\frac{\pi}{3}\) मिलता है। परीक्षा में \(2\pi\) के निकटतम गुणज हटाइए।

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Question 3/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(\theta=\frac{13\pi}{4}\), तो \(\theta\) का मुख्य कोण क्या है?

If \(\theta=\frac{13\pi}{4}\), what is the principal angle of \(\theta\)?

Explanation opens after your attempt
Correct Answer

C. \(\frac{5\pi}{4}\)

Step 1

Concept

\(\frac{13\pi}{4}-2\pi=\frac{5\pi}{4}\). In exams, subtract multiples of \(2\pi\).

Step 2

Why this answer is correct

The correct answer is C. \(\frac{5\pi}{4}\). \(\frac{13\pi}{4}-2\pi=\frac{5\pi}{4}\). In exams, subtract multiples of \(2\pi\).

Step 3

Exam Tip

\(\frac{13\pi}{4}-2\pi=\frac{5\pi}{4}\)। परीक्षा में \(2\pi\) के गुणज घटाइए।

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Question 4/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

कोण \(1180^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच मुख्य कोण क्या होगा?

What is the principal angle between \(0^\circ\) and \(360^\circ\) for \(1180^\circ\)?

Explanation opens after your attempt
Correct Answer

B. \(100^\circ\)

Step 1

Concept

Subtract \(3\times360^\circ\) from \(1180^\circ\) to get \(100^\circ\). In exams, remove multiples of \(360^\circ\).

Step 2

Why this answer is correct

The correct answer is B. \(100^\circ\). Subtract \(3\times360^\circ\) from \(1180^\circ\) to get \(100^\circ\). In exams, remove multiples of \(360^\circ\).

Step 3

Exam Tip

\(1180^\circ\) में से \(3\times360^\circ\) घटाने पर \(100^\circ\) मिलता है। परीक्षा में \(360^\circ\) के गुणज हटाइए।

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