मान लीजिए कि प्रतिलोम त्रिकोणमितीय फलन (inverse trigonometric functions) केवल मुख्य मान ही लेते हैं। मान लीजिए x, y [-1, 1] में कोई दो वास्तविक संख्याएँ इस प्रकार हैं कि cos-1x - sin-1y = α, जहाँ -π2 ≤ α ≤ π है। तो x2 + y2 + 2xy sin(α) का न्यूनतम मान क्या है?

Which Indian independence movement leader was primarily known for his philosophy and practice of non-violent civil disobedience?

Who gave the call for 'Do or Die' during the Quit India Movement in 1942?

Which of the following revolutionary pairs were imprisoned together in Cellular Jail and faced harsh conditions, contributing significantly to the Indian independence movement?