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In a G.P, the first term is 7, the last term is 448, and the sum is 889. Find the common ratio.
If two positive numbers have their A.M. 15 and G.M 9, then find the numbers.
Important question from sequence and series...
Prove that: cos 4A = 8cos⁴A - 8cos²A + 1
Prove that: (1+ sin 2A + cos 2A)² = 4cos²A(1+ sin 2A)
cos 2A = 2cos²A - 1 #trigonometry #formula1 #maths #mathematics
Prove that: (cos³A - cos 3A)/cos A + (sin³A + sin 3A)/sin A
Prove that: 4sin³A.cos 3A + 4cos³A.sin 3A = 3sin 4A
Solve: 2^(3x-5) × a^(x-2) = 2^(x-2) × a^(1-x)
Simplify from rational fraction. #simplify #education #maths #algebra #mathematics
If a = 10^x, b = 10^y and a^y. b^x = 100, then prove that: xy = 1.
If a^x = b, b^y = c and c^z = a then prove that:- xyz=1.
Solve: 4^3x = 32 #education #indices #maths
If 2^x = 3^y = 6^(-z), then prove that: 1/x + 1/y + 1/z = 0.
Important question from linear equation...
Solve: (t)^1/2 - 3(t)^1/4 +2 = 0
Important question from simultaneous linear equations.
Important question from a simultaneous linear equation.
Simplify: (x+2)/(1+x+x²) - (x-2)/(1-x+x²) - 2x²/(1+x²+x⁴)
Simplify: 2a/(2a+3b) + 3b/(2a-3b) - 18b²/(4a²-9b²)
Simplify: 2a/(1+a²) + 4a³/(1+a⁴) - 8a⁷/(a⁸-1)
Simplify: (p-4)/(p²-3p+2) + (p+11)/(p²-4p+3)
Important question from compound interest.
