Exam 7: Applications of Trigonometry

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Determine whether the law of cosines can be used to begin the solution process for the triangle. Determine whether the law of cosines can be used to begin the solution process for the triangle.

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Solve for B (0 < B < 90°), if possible. Round to the nearest tenth of a degree. Solve for B (0 < B < 90°), if possible. Round to the nearest tenth of a degree.

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Use the following to answer questions : z1 = 3 - 4i z2 = -1 - 3i z3 = 4 - i -Express one complex number as the sum of the other two.

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Use the following to answer questions : For a certain AC circuit, R = 35 Ω\Omega , XL = 20 Ω\Omega and XC = 8 Ω\Omega , with I = 2 A.  Use the following to answer questions : For a certain AC circuit, R = 35  \Omega , X<sub>L</sub> = 20   \Omega  and X<sub>C</sub> = 8   \Omega , with I = 2 A.   -Find the magnitude of Z, the phase angle between current and voltage, and write the result in trigonometric form. -Find the magnitude of Z, the phase angle between current and voltage, and write the result in trigonometric form.

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Find the component of u along v (compute compvu) for the vectors u and v given. Round to the nearest hundredth. Find the component of u along v (compute comp<sub>v</sub>u) for the vectors u and v given. Round to the nearest hundredth.   1475 lbs 1475 lbs

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Use the following to answer questions : Use the following to answer questions :   -Compute the product z<sub>1</sub>z<sub>2</sub> using the trigonometric form. Write your answer in exact rectangular form. -Compute the product z1z2 using the trigonometric form. Write your answer in exact rectangular form.

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