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Let π/2 < θ < π and cot θ = -1/2√2. Then the value of sin(15θ/2)(cos 8θ + sin 8θ) […]

Let I(x) = ∫ 3dx / ((4x+6)√(4x²+8x+3)) and I(0) = √3/4 + 20. If I(1/2) = a√2/b + c, where

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DOCTYPE html> Let α and β respectively be the maximum and the minimum values of the function f(θ) = 4

Number of solutions of √3 cos 2θ + 8 cos θ + 3√3 = 0, θ ∈ [-3π, 2π] is

Let the mean and variance of 8 numbers -10, -7, -1, x, y, 9, 2, 16 be 7/2 and 293/4,

The vertices B and C of a triangle ABC lie on the line x/1 = (1-y)/-2 = (z-2)/3. Find the

Let S = {z : 3 ≤ |2z – 3(1 + i)| ≤ 7} be a set of complex numbers.

A rectangle is formed by the lines x = 0, y = 0, x = 3 and y = 4.

Let the domain of the function f(x) = log₃ log₅ log₇ (9x – x² – 13) be the interval (m,