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trigonometry angles conversion hard class11 MCQ Questions for Class 11

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6 questions tagged with trigonometry angles conversion hard class11.

Question 1/6 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(245^\circ\) को रेडियन में \(\frac{m\pi}{36}\) लिखा जाता है, तो (m) का मान क्या है?

If \(245^\circ\) is written in radians as \(\frac{m\pi}{36}\), what is the value of (m)?

Explanation opens after your attempt
Correct Answer

C. (49)

Step 1

Concept

\(245^\circ=\frac{245\pi}{180}=\frac{49\pi}{36}\), so (m=49). In exams, make the denominator match the given form.

Step 2

Why this answer is correct

The correct answer is C. (49). \(245^\circ=\frac{245\pi}{180}=\frac{49\pi}{36}\), so (m=49). In exams, make the denominator match the given form.

Step 3

Exam Tip

\(245^\circ=\frac{245\pi}{180}=\frac{49\pi}{36}\), इसलिए (m=49)। परीक्षा में हर को दिए हुए रूप जैसा बनाइए।

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Question 2/6 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(72^\circ\) को रेडियन में बदलकर \(\frac{k\pi}{5}\) लिखा जाए, तो (k) क्या होगा?

If \(72^\circ\) is converted into radians and written as \(\frac{k\pi}{5}\), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

\(72^\circ=\frac{72\pi}{180}=\frac{2\pi}{5}\), so (k=2). In exams, always simplify the fraction.

Step 2

Why this answer is correct

The correct answer is B. (2). \(72^\circ=\frac{72\pi}{180}=\frac{2\pi}{5}\), so (k=2). In exams, always simplify the fraction.

Step 3

Exam Tip

\(72^\circ=\frac{72\pi}{180}=\frac{2\pi}{5}\), इसलिए (k=2)। परीक्षा में अंश को सरल रूप में जरूर करें।

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Question 3/6 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(a^\circ\) और \(\frac{7\pi}{12}\) रेडियन एक ही कोण हैं, तो (a) का मान क्या है?

If \(a^\circ\) and \(\frac{7\pi}{12}\) radians represent the same angle, what is (a)?

Explanation opens after your attempt
Correct Answer

C. (105)

Step 1

Concept

\(\frac{7\pi}{12}\times\frac{180^\circ}{\pi}=105^\circ\). In exams, cancel \(\pi\) while converting radians to degrees.

Step 2

Why this answer is correct

The correct answer is C. (105). \(\frac{7\pi}{12}\times\frac{180^\circ}{\pi}=105^\circ\). In exams, cancel \(\pi\) while converting radians to degrees.

Step 3

Exam Tip

\(\frac{7\pi}{12}\times\frac{180^\circ}{\pi}=105^\circ\)। परीक्षा में रेडियन से डिग्री में बदलते समय \(\pi\) काटें।

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Question 4/6 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(\frac{3\pi}{5}\) रेडियन को डिग्री में बदला जाए, तो कोण कितना होगा?

If \(\frac{3\pi}{5}\) radians is converted into degrees, what is the angle?

Explanation opens after your attempt
Correct Answer

B. \(108^\circ\)

Step 1

Concept

\(\frac{3\pi}{5}\times\frac{180^\circ}{\pi}=108^\circ\). In exams, cancel \(\pi\) before multiplying.

Step 2

Why this answer is correct

The correct answer is B. \(108^\circ\). \(\frac{3\pi}{5}\times\frac{180^\circ}{\pi}=108^\circ\). In exams, cancel \(\pi\) before multiplying.

Step 3

Exam Tip

\(\frac{3\pi}{5}\times\frac{180^\circ}{\pi}=108^\circ\)। परीक्षा में पहले \(\pi\) हटाकर गुणा करें।

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Question 5/6 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

कोण \(225^\circ\) को रेडियन में बदलने पर कौन सा मान मिलेगा?

Which value is obtained when \(225^\circ\) is converted into radians?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

Multiply by \(\frac{\pi}{180}\) to convert degrees into radians. In exams, cancel (225) and (180) by (45).

Step 2

Why this answer is correct

The correct answer is C. \(\frac{5\pi}{4}\). Multiply by \(\frac{\pi}{180}\) to convert degrees into radians. In exams, cancel (225) and (180) by (45).

Step 3

Exam Tip

डिग्री को रेडियन में बदलने के लिए \(\frac{\pi}{180}\) से गुणा करें। परीक्षा में (225) और (180) को (45) से काटें।

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Question 6/6 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(x^\circ=\frac{5\pi}{18}\) रेडियन है, तो (x) का मान क्या है?

If \(x^\circ=\frac{5\pi}{18}\) radians, what is the value of (x)?

Explanation opens after your attempt
Correct Answer

B. (50)

Step 1

Concept

Multiply by \(\frac{180}{\pi}\) to convert radians into degrees. In exams, cancel \(\pi\) first to simplify calculation.

Step 2

Why this answer is correct

The correct answer is B. (50). Multiply by \(\frac{180}{\pi}\) to convert radians into degrees. In exams, cancel \(\pi\) first to simplify calculation.

Step 3

Exam Tip

रेडियन को डिग्री में बदलने के लिए \(\frac{180}{\pi}\) से गुणा करते हैं। परीक्षा में \(\pi\) कटाने पर गणना सरल होती है।

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