91Ó°ÊÓ

(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 $$f(x)=\cos ^{2} x-\sin x$$ Trigonometric Equation $$-2 \sin x \cos x-\cos x=0$$

Find all solutions of the equation in the interval \([0,2 \pi)\). Use a graphing utility to graph the equation and verify the solutions. $$\tan \frac{x}{2}-\sin x=0$$

Rewrite the expression so that it is not in fractional form. There is more than one correct form of each answer. $$\frac{\sin ^{2} y}{1-\cos y}$$

(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 $$f(x)=\sin x+\cos x$$ Trigonometric Equation $$\cos x-\sin x=0$$

Find all solutions of the equation in the interval \([0,2 \pi)\). $$\cos \left(x+\frac{\pi}{4}\right)-\cos \left(x-\frac{\pi}{4}\right)=1$$

Use the product-to-sum formulas to write the product as a sum or difference. $$\sin \frac{\pi}{3} \cos \frac{\pi}{6}$$

Find all solutions of the equation in the interval \([0,2 \pi)\). $$\tan (x+\pi)+2 \sin (x+\pi)=0$$

Use the product-to-sum formulas to write the product as a sum or difference. $$4 \cos \frac{\pi}{3} \sin \frac{5 \pi}{6}$$

Rewrite the expression so that it is not in fractional form. There is more than one correct form of each answer. $$\frac{5}{\tan x+\sec x}$$

(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 $$f(x)=2 \sin x+\cos 2 x$$ Trigonometric Equation $$2 \cos x-4 \sin x \cos x=0$$