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Question Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 72

\(\cot x\) को \(\sin x\) और \(\cos x\) के रूप में कैसे लिखा जाता है?

How is \(\cot x\) written in terms of \(\sin x\) and \(\cos x\)?

Explanation opens after your attempt

Correct Answer

B. \(\frac{\cos x}{\sin x}\)

Step 1

Concept

\(\cot x=\frac{\cos x}{\sin x}\). \(\tan x\) and \(\cot x\) are reciprocals of each other.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{\cos x}{\sin x}\). \(\cot x=\frac{\cos x}{\sin x}\). \(\tan x\) and \(\cot x\) are reciprocals of each other.

Step 3

Exam Tip

\(\cot x=\frac{\cos x}{\sin x}\) होता है। \(\tan x\) और \(\cot x\) एक-दूसरे के व्युत्क्रम हैं।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Trigonometric functions and their properties
Difficulty: Easy
Level: 72

Question Hindi:
(\cot x) को (\sin x) और (\cos x) के रूप में कैसे लिखा जाता है?

Question English:
How is (\cot x) written in terms of (\sin x) and (\cos x)?

Options:
A. (\frac{\sin x}{\cos x})
B. (\frac{\cos x}{\sin x})
C. (\sin x+\cos x)
D. (\frac{1}{\cos x})

Correct Answer:
B. (\frac{\cos x}{\sin x})

Explanation Hindi:
(\cot x=\frac{\cos x}{\sin x}) होता है। (\tan x) और (\cot x) एक-दूसरे के व्युत्क्रम हैं।

Explanation English:
(\cot x=\frac{\cos x}{\sin x}). (\tan x) and (\cot x) are reciprocals of each other.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 72

\(\tan x\) को \(\sin x\) और \(\cos x\) के रूप में कैसे लिखा जाता है?

How is \(\tan x\) written in terms of \(\sin x\) and \(\cos x\)?

Explanation opens after your attempt

Correct Answer

C. \(\frac{\sin x}{\cos x}\)

Step 1

Concept

\(\tan x=\frac{\sin x}{\cos x}\) is a basic quotient identity. In such questions, check numerator and denominator carefully.

Step 2

Why this answer is correct

The correct answer is C. \(\frac{\sin x}{\cos x}\). \(\tan x=\frac{\sin x}{\cos x}\) is a basic quotient identity. In such questions, check numerator and denominator carefully.

Step 3

Exam Tip

\(\tan x=\frac{\sin x}{\cos x}\) मूल अनुपात पहचान है। ऐसे प्रश्नों में अंश और हर को ध्यान से देखें।

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AI Video Prompt 16:9 + 9:16

Is question ka premium MCQ video banane ke liye ready prompt. Copy karke Sora, Runway, Canva AI, CapCut AI, ChatGPT video workflow ya editor me use karein.

Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

Brand:
- Name: Muft Shiksha
- Website: https://muftshiksha.com
- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
- Do not add wrong facts. Do not change the question, options or answer.

Question Page:
https://muftshiksha.com/question/how-is-tan-x-written-in-terms-of-sin-x-and-cos-x

MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Trigonometric functions and their properties
Difficulty: Easy
Level: 72

Question Hindi:
(\tan x) को (\sin x) और (\cos x) के रूप में कैसे लिखा जाता है?

Question English:
How is (\tan x) written in terms of (\sin x) and (\cos x)?

Options:
A. (\frac{\cos x}{\sin x})
B. (\sin x\cos x)
C. (\frac{\sin x}{\cos x})
D. (\frac{1}{\sin x})

Correct Answer:
C. (\frac{\sin x}{\cos x})

Explanation Hindi:
(\tan x=\frac{\sin x}{\cos x}) मूल अनुपात पहचान है। ऐसे प्रश्नों में अंश और हर को ध्यान से देखें।

Explanation English:
(\tan x=\frac{\sin x}{\cos x}) is a basic quotient identity. In such questions, check numerator and denominator carefully.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class11 #Study

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\(\cot x\) को \(\sin x\) और \(\cos x\) के रूप में कैसे लिखा जाता है?

Concept

Why this answer is correct

Exam Tip

\(\tan x\) को \(\sin x\) और \(\cos x\) के रूप में कैसे लिखा जाता है?

Concept

Why this answer is correct

Exam Tip

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