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Home Question Bank Math Trigonometry Archive 2025 January 19

Trigonometry Questions from Jan 19,2025

Browse the Trigonometry Q&A Archive for Jan 19,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the amplitude, period, and displacement of the function. Graph the function. Show at least one period. \[ y=8 \sin (\pi x+9) \] Type the amplitude, period, and displacement of the function. Amplitude \( =\square \) Period \( =\square \) Displacement \( =\square \) (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression.) Find the amplitude, period, and displacement of the function. Graph the function. Show at least one period. \[ y=7 \boldsymbol{\operatorname { s i n }}(2 \pi x+9) \] Type the amplitude, period, and displacement of the function. Amplitude \( =7 \) Period \( =\square \) Displacement \( =\square \) (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression. Find the amplitude, period, and displacement of the function. Graph the function. Show at least one period \( y=9 \boldsymbol{\operatorname { s i n }}(4 \pi x+7) \) Type the amplitude, period, and displacement of the function. Amplitude \( =\square \) Period \( =\square \) Displacement \( =\square \) (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers Determine the amplitude, period, and displacement of the function. Then graph one period of the function. \( y=-4 \cos \left(4 x-\frac{\pi}{2}\right) \) The amplitude is Determine the amplitude, period, and displacement of the given function. Then sketch the graph of the function. \( y=2 \cos \left(x+\frac{\pi}{12}\right) \) The amplitude is \( \square \). The period is \( \square \). The displacement is (Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression.) \( A+B+C=180^{\circ} \) - (I) \( A+B-C=45^{\circ} \) - (II) \( B+C-A=60^{\circ} \) - (III) Q. find.A,B,C. From the top of a 207 -f lighthouse, the angle of depression to a ship in the ocean is \( 21^{\circ} \), How far is the ship from the base of the lighthouse? Aovind your answer to 2 decmal pleces as needded. feet Consider the function: \( g(x)=\frac{4-8 \sin ^{2} x}{3} \) \( 6.3 .1 \quad \) Calculate the maximum value of \( g \) \( \begin{array}{l}\text { Write down the smallest possible value of } x \text { for which } g \text { will have a } \\ \text { maximum value in the interval } x \in\left(0^{\circ} ; 360^{\circ}\right] .\end{array} \) \begin{tabular}{l|l}2 & \( \begin{array}{l}\text { Sonder om 'n sakrekenaar te gebruik , bepaal die waarde van: } \\ \sin 45^{\circ} \cdot \cos ^{2} 60^{\circ}-\tan ^{2} 45^{\circ}\end{array} \) \\ \hline\end{tabular} Wite the finction of the form \( y= \) sin bx corresponding to the guen period. Penod 1 Fill in the correct value for b. \( y=\sin (\square x) \) (Type an exact answer in lerms of \( \pi \). Use intepers or fractions for any numbers in the exprescion Simplity your anower)
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