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What is the principal value of \(\cos^{-1}\left(\cos\left(-\frac{\pi}{4}\right)\right)\)?\(\cos^{-1}\left(\cos\left(-\frac{\pi}{4}\right)\right)\) का मुख्य मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{\pi}{4}\)\(\frac{\pi}{4}\)
Since \(\cos\left(-\frac{\pi}{4}\right)=\frac{1}{\sqrt{2}}\), \(\cos^{-1}\left(\frac{1}{\sqrt{2}}\right)=\frac{\pi}{4}). The answer of (\cos^{-1}\) is not negative.\(\cos\left(-\frac{\pi}{4}\right)=\frac{1}{\sqrt{2}}\), इसलिए \(\cos^{-1}\left(\frac{1}{\sqrt{2}}\right)=\frac{\pi}{4})। (\cos^{-1}\) का उत्तर ऋणात्मक नहीं होता।
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