This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
यह रहा दूसरा प्रश्न: Step 1: दिए गए त्रिकोणमितीय मानों को पहचानें। हमें ^2 ()/(6) + ^2 ()/(4) - ^2 ()/(4) का मान ज्ञात करना है। यहाँ कोण हैं: ()/(6) = 30^ और ()/(4) = 45^. Step 2: मानक त्रिकोणमितीय मानों को याद करें। • (()/(6)) = (30^) = (1)/((30^)) = (1)/(sqrt(3)/2) = (2)/(sqrt(3)) • (()/(4)) = (45^) = 1 • (()/(4)) = (45^) = (1)/(sqrt(2)) Step 3: इन मानों को दिए गए व्यंजक में प्रतिस्थापित करें। ^2 ()/(6) + ^2 ()/(4) - ^2 ()/(4) = ((2)/(sqrt(3)))^2 + (1)^2 - ((1)/(sqrt(2)))^2 Step 4: व्यंजक को सरल करें। = (4)/(3) + 1 - (1)/(2) सामान्य हर (LCM) 6 है। = (4 × 2)/(3 × 2) + (1 × 6)/(1 × 6) - (1 × 3)/(2 × 3) = (8)/(6) + (6)/(6) - (3)/(6) = (8 + 6 - 3)/(6) = (14 - 3)/(6) = (11)/(6) अतः, व्यंजक का मान है: (11)/(6) 3 done, 2 left today. You're making progress.