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Question Medium Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 31

\(\cos^{-1}0-\sin^{-1}0\) का मान क्या है?

What is the value of \(\cos^{-1}0-\sin^{-1}0\)?

Explanation opens after your attempt

Correct Answer

B. \(\frac{\pi}{2}\)

Step 1

Concept

Since \(\cos^{-1}0=\frac{\pi}{2}\) and \(\sin^{-1}0=0\), the difference is \(\frac{\pi}{2}\). Inverse trigonometric values at zero are very useful.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{\pi}{2}\). Since \(\cos^{-1}0=\frac{\pi}{2}\) and \(\sin^{-1}0=0\), the difference is \(\frac{\pi}{2}\). Inverse trigonometric values at zero are very useful.

Step 3

Exam Tip

\(\cos^{-1}0=\frac{\pi}{2}\) और \(\sin^{-1}0=0\), इसलिए अंतर \(\frac{\pi}{2}\) है। शून्य के उल्टे त्रिकोणमितीय मान बहुत उपयोगी हैं।

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MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Inverse Trigonometric Functions
Topic: Introduction to inverse trigonometric functions
Difficulty: Medium
Level: 31

Question Hindi:
(\cos^{-1}0-\sin^{-1}0) का मान क्या है?

Question English:
What is the value of (\cos^{-1}0-\sin^{-1}0)?

Options:
A. (0)
B. (\frac{\pi}{2})
C. (\pi)
D. (-\frac{\pi}{2})

Correct Answer:
B. (\frac{\pi}{2})

Explanation Hindi:
(\cos^{-1}0=\frac{\pi}{2}) और (\sin^{-1}0=0), इसलिए अंतर (\frac{\pi}{2}) है। शून्य के उल्टे त्रिकोणमितीय मान बहुत उपयोगी हैं।

Explanation English:
Since (\cos^{-1}0=\frac{\pi}{2}) and (\sin^{-1}0=0), the difference is (\frac{\pi}{2}). Inverse trigonometric values at zero are very useful.

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".

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- Make 9:16 version for Shorts/Reels.
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- Add readable subtitles.
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- 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.

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Question Medium Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 31

\(\sin^{-1}1+\cos^{-1}1\) का मान क्या है?

What is the value of \(\sin^{-1}1+\cos^{-1}1\)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{\pi}{2}\)

Step 1

Concept

Here \(\sin^{-1}1=\frac{\pi}{2}\) and \(\cos^{-1}1=0\), so the sum is \(\frac{\pi}{2}\). Remember endpoint values.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{2}\). Here \(\sin^{-1}1=\frac{\pi}{2}\) and \(\cos^{-1}1=0\), so the sum is \(\frac{\pi}{2}\). Remember endpoint values.

Step 3

Exam Tip

\(\sin^{-1}1=\frac{\pi}{2}\) और \(\cos^{-1}1=0\), इसलिए योग \(\frac{\pi}{2}\) है। अंत बिंदुओं के मान याद रखें।

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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/what-is-the-value-of-sin-1-1-cos-1-1

MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Inverse Trigonometric Functions
Topic: Introduction to inverse trigonometric functions
Difficulty: Medium
Level: 31

Question Hindi:
(\sin^{-1}1+\cos^{-1}1) का मान क्या है?

Question English:
What is the value of (\sin^{-1}1+\cos^{-1}1)?

Options:
A. (\frac{\pi}{2})
B. (\pi)
C. (0)
D. (\frac{3\pi}{2})

Correct Answer:
A. (\frac{\pi}{2})

Explanation Hindi:
(\sin^{-1}1=\frac{\pi}{2}) और (\cos^{-1}1=0), इसलिए योग (\frac{\pi}{2}) है। अंत बिंदुओं के मान याद रखें।

Explanation English:
Here (\sin^{-1}1=\frac{\pi}{2}) and (\cos^{-1}1=0), so the sum is (\frac{\pi}{2}). Remember endpoint values.

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 #Class12 #Study

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\(\cos^{-1}0-\sin^{-1}0\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\(\sin^{-1}1+\cos^{-1}1\) का मान क्या है?

Concept

Why this answer is correct

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