Trigonometry Questions from Dec 08,2024

Browse the Trigonometry Q&A Archive for Dec 08,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Bündner Kantonsschule 7. Ein Hochhaus ist 132 m vom näheren Ufer eines geradlinig verlaufenen Flusses entfernt. Für jemanden im Hochhaus, der aus 45 m Höhe zum Fluss schaut, erscheint die Breite des Flusses unter einem Winkel von \( 1^{\circ} \). Mach eine passende Skizze. Berechne die Breite des Flusses. Func Transformations Q2 Select the function \( f(x)=\cos (x) \) and check the Plot Function box to graph \( f(x)=\cos (x) \). Use the \( a \)-slider and b-slider to graph the function \( f(x)=3 \cos (4 x) \). The value of \( b \) affects the points Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure. Transformations Q1 \( \begin{array}{l}\text { Check the Plot Function box to graph } f(x)=\sin (x) \text {. Use the a-slider to graph the function } \\ f(x)=5 \sin (x) \text {. The value of a affects the } \\ \text { Use the interactive figure to find your answer. Use the left and right arrow keys to move } \\ \text { along a slider as needed. } \\ \text { Click here to launch the interactive figure. }\end{array} \) The value of a affects the 1 Determine the amplitude, period, and phase shift (if any) of the given function, and graph the function. \( y=\frac{1}{4} \sin \left(x+\frac{\pi}{2}\right) \) The amplitude is \( \square \), the period is \( \square \), and the phase shift is \( \square \). (Simplify your answers. Type exact answers, using \( \pi \) as needed.) Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. \( y=2 \sin \left(\frac{1}{4} x\right) \) The amplitude is \( \square \). (Simplify your answer. Type an exact answer, using \( \pi \) as needed.) Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. \( y=\cos (6 x) \) The amplitude is 1 . (Simplify your answer. Type an exact answer, using \( \pi \) as needed.) The period is \( \square \). (Simplify your answer. Type an exact answer, using \( \pi \) as needed.) - Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. \( y=\cos (6 x) \) The amplitude is (Simplify your answer. Type an exact answer, using \( \pi \) as needed.) Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. \( y=\frac{3}{5} \sin x \) The amplitude is (Simplify your answer. Type an exact answer, using \( \pi \) as needed.) Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. \( y=-2 \sin x \) The amplitude is \( \begin{array}{l}\text { (Simplify your answer. Type an } \\ \text { exact answer, using } \pi \text { as needed.) }\end{array} \) Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. \( y=\sin x+7 \) What is the amplitude of \( y=\sin x+7 \) ? (Simplify your answer. Type an exact answer, using \( \pi \) as needed.)
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