What is the value of (32 cos6x – 48 cos4x + 18 cos2x – 1)/[4 sin x cos x sin (60 – x) cos (60 – x) sin (60 + x) cos (60 + x)]?
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In the given figure, ∡QRU = 72°, ∡TRS = 15°, ∡PSR = 95° , then what is the value (in deg) of ∡PQR?
If x3 – 4x2 + 19 = 6(x – 1), then what is the value of [x2 + (1/x – 4)]?
If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?
α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?
If A and B are the roots of the equation Ax2 – A2x + AB = 0, then what is the value of A and B respectively?
If x2 – 16x – 59 = 0, then what is the value of (x – 6)2 + [1/(x – 6)2]?
If a and b are the roots of the equation Px2 – Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?
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