Chapter 5: Problem 76
Use the half-angle formulas to simplify the expression. $$-\sqrt{\frac{1-\cos (x-1)}{2}}$$
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Chapter 5: Problem 76
Use the half-angle formulas to simplify the expression. $$-\sqrt{\frac{1-\cos (x-1)}{2}}$$
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Consider the equation \(2 \sin x-1=0\). Explain the similarities and differences between finding all solutions in the interval \(\left[0, \frac{\pi}{2}\right)\), finding all solutions in the interval \([0,2 \pi),\) and finding the general solution.
The area of a rectangle (see figure) inscribed in one arc of the graph of
\(y=\cos x\) is given by \(A=2 x \cos x, 0
Find the exact value of each expression. (a) \(\cos \left(\frac{\pi}{4}+\frac{\pi}{3}\right)\) (b) \(\cos \frac{\pi}{4}+\cos \frac{\pi}{3}\)
Write the expression as the sine, cosine, or tangent of an angle. $$\cos \frac{\pi}{7} \cos \frac{\pi}{5}-\sin \frac{\pi}{7} \sin \frac{\pi}{5}$$
Find the exact value of each expression. (a) \(\sin \left(135^{\circ}-30^{\circ}\right)\) (b) \(\sin 135^{\circ}-\cos 30^{\circ}\)
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