Exam 14: Trigonometry With Any Angle

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). C = 47.6°, a = 82.8 cm, c = 90.9 cm

Find the period of the wave whose frequency is 6.2 MHz.

Graph the equation for values of x between 0° and 360° in multiples of 30°. y = 5 cos x

Find the value of tan 402.1° rounded to four significant digits.

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 56.4$ °, a = 38.3 mi, c = 28.5 mi

Find the period P and amplitude A and graph at least two periods of the equation. y = 12 cos 6x

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 5 cos (x - 15°)

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). C = 8.3°, c = 84.7 mi, b = 61.9 mi

Find the period P and amplitude A and graph at least two periods of the equation. $y = 3.4 \cos \frac { 3 } { 5 } x$

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). B = 105.0°, b = 33.0 mi, a = 23.0 mi

Solve the triangle using the labels as shown in illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle A = 53.0$ °, $\angle C = 48.1$ °, a = 26.5 m

Find the period of the wave whose frequency is 4.8 kHz.

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. $y = 3 \cos \left( \frac { 3 } { 4 } x - 90 ^ { \circ } \right)$

Find the value of cos 315° rounded to four significant digits.

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle B = 40.8$ °, $\angle C = 61.3$ °, c = 22.7 km

A weather balloon is sighted from points A and B, which are 5.00 km apart on level ground. The angle of elevation of the balloon from point A is 28.0°. Its angle of elevation from point B is 46.0°. a. Find the height (in m) of the balloon if it is between A and B. b. Find the height (in m) if B is between point A and the weather balloon. Round your answers to the nearest meter.

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree). $\angle B = 21.7$ °, $\angle C = 139.1$ °, a = 355 m

Solve the triangle given below. Do not round results during calculations. (For answers, round lengths to three significant digits and angles to the nearest tenth of a degree). A = 31.0°, a = 4,820 mi, c = 3,650 mi

Find the period P and amplitude A and graph at least two periods of the equation. y = 7 cos 4x

Find the period P, amplitude A, and phase shift S, and graph at least two periods of the equation. y = 5 sin (x - 70°)