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Chapter 5: Problem 35
Use Heron's Area Formula to find the area of the triangle. $$a=2.5, \quad b=10.2, \quad c=9$$
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Write the expression as the sine, cosine, or tangent of an angle. $$\frac{\tan 140^{\circ}-\tan 60^{\circ}}{1+\tan 140^{\circ} \tan 60^{\circ}}$$
Find the exact value of each expression. (a) \(\cos \left(120^{\circ}+45^{\circ}\right)\) (b) \(\cos 120^{\circ}+\cos 45^{\circ}\)
Find all solutions of the equation in the interval \([0,2 \pi)\). $$\cos x+\sin x \tan x=2$$
Consider the function given by \(f(x)=3 \sin (0.6 x-2)\). (a) Approximate the zero of the function in the interval [0,6] (b) A quadratic approximation agreeing with \(f\) at \(x=5\) is \(g(x)=-0.45 x^{2}+5.52 x-13.70 .\) Use a graphing utility to graph \(f\) and \(g\) in the same viewing window. Describe the result. (c) Use the Quadratic Formula to find the zeros of \(g\). Compare the zero in the interval [0,6] with the result of part (a).
Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval \([0,2 \pi)\). $$\frac{\cos x \cot x}{1-\sin x}=3$$
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