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Trig Functions: Sine and Cosine Definition ... Definition: An algebraic approach ... From defining a few general properties of the sine and cosine functions, we can algebraically derive the sine and cosine functions themselves.
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can you explain the method? ... All of the answers so far leave out an important result: For any value of sin, cos can have a positive and negative value (unless cos x = 0); sin²x + cos²x = 1; 0.6² + cos²x = 1; 0.36 + cos²x = 1 cos²x = 1 - 0.36 cos²x = 0.64;
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If sec x = -2/3, then; cos x = -3/2 ... Did you mean, secx = -3/2 and sin > 0? Use SOHCAHTOA: sinx = O/H = opposite/hypotenuse cosx = A/H = adjacent/hypotenuse tanx = O/A = opposite/adjacent; cotx = 1/tanθ = A/O = adjacent/opposite secx = 1/cosθ = H/A = hypotenuse/adjacent cscx = 1/sinθ = H/O = hypotenuse/opposite;
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If y=f(x) is rotated about the x-axes between x=a and x=b, then the area of the resulting surface is given by: . ... Example 17.1.1; Find the area of the surface of revolution obtained by revolving y=sin(x), about the x axis. ... f := proc (x) options operator, arrow; sin(x) end proc...
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and so sin x x 1 0; sin x x x 0: This means that sin x x when divided by x is very small. But a fraction is small exactly when the numerator is much smaller than the denominator. ... x!0 sin 4x sin 5x; = lim; x!0; 4 sin x; 5 sin x; = lim; x!0; 4; 5; =; 4; 5; ? Even though the answer comes out...
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6 Yahoo! Answers - Lim sin(x^0)/x as x->0? – Discover the answer for this question and Earn more points for the best answer on Yahoo! Answers India ... While it is true that the function f(x) = [sin(x^0) / x] is not defined at x = 0, it is defined everywhere else and a limit can exist. sin(x^0) = sin(1) for x ≠ 0;
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Use the definition of f[x] to prove that e^(-x/100) Sin[x] = 0. Illustrate the proof with plots for = .001 and = 0.00005. ... To prove e^(-x/100) Sin[x] = 0 means that we must be able to find an N that works for arbitrarily small . In other words, we want to find a formula for N (in terms of ) that will always work...
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