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 पहला प्रश्न: Step 1: दिए गए त्रिकोणमितीय मानों को पहचानें। हमें ^2 ()/(4) - ^2 ()/(3) - ^2 ()/(2) का मान ज्ञात करना है। यहाँ कोण हैं: ()/(4) = 45^, ()/(3) = 60^, और ()/(2) = 90^. Step 2: मानक त्रिकोणमितीय मानों को याद करें। • (()/(4)) = (45^) = (1)/(sqrt(2)) • (()/(3)) = (60^) = (1)/(sqrt(3)) • (()/(2)) = (90^) = (1)/((90^)) = (1)/(1) = 1 Step 3: इन मानों को दिए गए व्यंजक में प्रतिस्थापित करें। ^2 ()/(4) - ^2 ()/(3) - ^2 ()/(2) = ((1)/(sqrt(2)))^2 - ((1)/(sqrt(3)))^2 - (1)^2 Step 4: व्यंजक को सरल करें। = (1)/(2) - (1)/(3) - 1 सामान्य हर (LCM) 6 है। = (3)/(6) - (2)/(6) - (6)/(6) = (3 - 2 - 6)/(6) = (1 - 6)/(6) = (-5)/(6) अतः, व्यंजक का मान है: -(5)/(6) That's 2 down. 3 left today — send the next one.