Exam 7: Applications of Trigonometry

Solve. -Two forces of 50 and 80 N (newtons) act on an object. The angle between the forces is 42°. Find the magnitude of the resultant and the angle that it makes with the smaller force.

Solve. -Two ships leave a harbor together traveling on courses that have an angle of 128° between them. If they each travel 544 miles, how far apart are they (to the nearest mile)?

Graph the pair of parametric equations in the rectangular coordinate system. -

Write the complex number in the form a + bi. -

Solve the problem. -A projectile is fired with an initial velocity of 350 feet per second at an angle of 45° with the horizontal. To the nearest foot, find the maximum altitude of the projectile. The parametric equations for the path of the projectile Are

Graph the pair of parametric equations in the rectangular coordinate system. -

Perform the operation using trigonometric form. Write the answer in the form a + bi -

Solve the triangle. Approximate values to the nearest tenth when appropriate. - = 122.5° a = 5.30 B = 10.18

Express the given vector as a linear combination of the unit vectors i and j. --8, -8

Find the component form for the vector with the given magnitude and direction angle . Round values to the nearest tenth. -

Using the pair of parametric equations, find the values of A and B in the table. -

Solve the triangle with the given parts. - = 50.2°, = 40.3°, a = 22.7

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Express the given vector as a linear combination of the unit vectors i and j. -7, -10

Graph the polar equation. -

Write the complex number in the form a + bi. - (cos 150° + i sin 150°)

Eliminate the parameter of the pair of parametric equations. -x = sec t, y = tan t

Write the complex number in the form a + bi. -

Graph the point. -(0, 2°)

Provide an appropriate response. -Why can't the Pythagorean theorem be used to solve an oblique triangle?