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Chapter 5: Problem 36
Use Heron's Area Formula to find the area of the triangle. $$a=75.4, \quad b=52, \quad c=52$$
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Use inverse functions where needed to find all solutions of the equation in the interval \([0,2 \pi)\). $$\cot ^{2} x-9=0$$
Use inverse functions where needed to find all solutions of the equation in the interval \([0,2 \pi)\). $$\tan ^{2} x-\tan x-2=0$$
(a) use a graphing utility to graph the function and approximate the maximum and minimum points on the graph in the interval \([0,2 \pi),\) and (b) solve the trigonometric equation and demonstrate that its solutions are the \(x\) -coordinates of the maximum and minimum points of \(f .\) (Calculus is required to find the trigonometric equation.) Function $$f(x)=\sin ^{2} x+\cos x$$ Trigonometric Equation $$2 \sin x \cos x-\sin x=0$$
Determine whether the statement is true or false. Justify your answer. The equation \(2 \sin 4 t-1=0\) has four times the number of solutions in the interval \([0,2 \pi)\) as the equation \(2 \sin t-1=0\).
Find the exact values of the sine, cosine, and tangent of the angle. $$\frac{17 \pi}{12}=\frac{9 \pi}{4}-\frac{5 \pi}{6}$$
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