Concept-wise Practice

special-angle MCQ Questions for Class 12

special-angle se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2 questions tagged with special-angle.

\(\cos^{-1}\left(\frac{\sqrt{2}}{2}\right)\) का मान क्या है?

What is the value of \(\cos^{-1}\left(\frac{\sqrt{2}}{2}\right)\)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{\pi}{4}\)

Step 1

Concept

Since \(\cos\frac{\pi}{4}=\frac{\sqrt{2}}{2}\) and \(\frac{\pi}{4}\in\left[0,\pi\right]\). Remember the table of special values.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{\pi}{4}\). Since \(\cos\frac{\pi}{4}=\frac{\sqrt{2}}{2}\) and \(\frac{\pi}{4}\in\left[0,\pi\right]\). Remember the table of special values.

Step 3

Exam Tip

\(\cos\frac{\pi}{4}=\frac{\sqrt{2}}{2}\) और \(\frac{\pi}{4}\in\left[0,\pi\right]\)। विशेष मानों की तालिका याद रखें।

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(\tan^{-1}\(\sqrt{3}\)) का मान क्या है?

What is the value of (\tan^{-1}\(\sqrt{3}\))?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

Since \(\tan\frac{\pi}{3}=\sqrt{3}\) and \(\frac{\pi}{3}\) lies in the principal range. Remember special angles well.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{\pi}{3}\). Since \(\tan\frac{\pi}{3}=\sqrt{3}\) and \(\frac{\pi}{3}\) lies in the principal range. Remember special angles well.

Step 3

Exam Tip

\(\tan\frac{\pi}{3}=\sqrt{3}\) और \(\frac{\pi}{3}\) मुख्य परिसर में है। विशेष कोण याद रखना जरूरी है।

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