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Answer 1 To calculate the tangent values for specific angles on the unit circle, you will use the formula: $ an( heta) = frac{sin( heta)}{cos( heta)} $Consider the angles $ heta = frac{pi}{4}, frac{2pi}{3},$ and $frac{7pi}{6}$. First, we need to find...
Answer 1 The inner planets (Mercury, Venus, Earth, Mars) are rocky, smaller, and have fewer moons. They are closer to the Sun and have shorter orbits. The outer planets (Jupiter, Saturn, Uranus, Neptune) are gas giants, larger, and have many moons...
Answer 1 To determine the convergence or divergence of an infinite series using the Ratio Test, compute the limit L = lim (n→∞) |a_(n+1) / a_n|. If L < 1, the series converges absolutely. If L > 1 or L is infinite, the series diverges. If L = 1, the...
Answer 1 The movement of tectonic plates is driven by mechanisms such as mantle convection, slab pull, and ridge push. These processes cause plates to move, interact, and deform, leading to geological phenomena like earthquakes, which occur due to...
Answer 1 In a cyclic quadrilateral, the sum of the opposite angles is supplementary because the measure of an angle subtended by an arc at the circumference is half the measure of the angle subtended by the same arc at the center. Therefore, the...
Answer 1 To determine the equilibrium constant (Kc) for a chemical reaction at a given temperature, use the concentrations of the reactants and products at equilibrium. The Kc is calculated using the expression: Kc = [products]^coefficients /...