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Problem 37

Refer to the guidelines to solve oblique triangles to decide on the procedure to use to solve each triangle. Then solve the triangle. \(a=59.49, B=50^{\circ} 52^{\prime}, C=28^{\circ} 37^{\prime}\)

Problem 37

Write each complex number in rectangular form. Give exact values for the real and imaginary parts. Do not use a calculator. $$4\left(\cos 240^{\circ}+i \sin 240^{\circ}\right)$$

Problem 37

Find all indicated roots and express them in rectangular form. Check your results with a calculator. The cube roots of \(64 i\).

Problem 37

Graph each pair of parametric equations. $$x=4 \cos t, y=4 \sin 2 t ; 0 \leq t \leq 2 \pi$$

Problem 38

Write each complex number in rectangular form. Give exact values for the real and imaginary parts. Do not use a calculator. $$2\left(\cos 330^{\circ}+i \sin 330^{\circ}\right)$$

Problem 38

Determine the number of triangles ABC possible with the given parts. \(a=35, b=30, A=40^{\circ}\)

Problem 38

Graph each pair of parametric equations. $$x=3 \sin 2 t, y=3 \cos t ; 0 \leq t \leq 2 \pi$$

Problem 38

Find all indicated roots and express them in rectangular form. Check your results with a calculator. The fourth roots of \(-1\).

Problem 39

Graph each polar equation for \(\theta\) in \(\left[0^{\circ}, 360^{\circ}\right)\). In Exercises \(39-48\), identify the rype of polar graph. $$r=2+2 \cos \theta$$

Problem 39

Write each complex number in rectangular form. Give exact values for the real and imaginary parts. Do not use a calculator. $$\cos \frac{\pi}{6}+i \sin \frac{\pi}{6}$$

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