Determine whether the statement below is true or false. The angular speed Ѡ of an object traveling around a circle of radius r is the angle θ (measured in radians)…
Category: Trigonometry
Problem 1103
Complete the sentence below. An object travels around a circle of radius r with constant speed. If s is the distance traveled in time t around the circle and θ…
Problem 1102
Complete the sentence below. On a circle of radius r, a central angle of θ radians subtends an arc of length s = …………..; the area of the sector formed…
Problem 1101
Complete the sentence below. If the radius of a circle is r and the length of the arc subtended by a central angle is also r, then the measure of…
Problem 1100
Complete the sentence below. A ……………….. is a positive angle whose vertex is the center of a circle. Solution:- A central angle is a positive angle whose vertex…
Problem 1099
Complete the sentence below. An angle θ is in ……………………….. , ……………………… if its vertex is at the origin of a rectangular coordinate system and its initial side coincides…
Problem 1098
Complete the following sentence. If a particle has a speed of r feet per second and travels a distance d (in feet) in time (in seconds), then d = ………………..…
Problem 1097
What is the formula for the circumference C of a circle of radius r? What is the formula for area A of a circle of radius r? Solution:-…
Problem 1096
Find the cosine of 90°. Solution:- The coordinate at 90° is (0, 1). The cosine represents the x-coordinate of the ordered pair. Therefore, the cosine of 90° is…
Problem 1095
Explain the meaning of SOH of the mnemonic device SOH-CAH-TOA. Solution:- The mnemonic device of SOH-CAH-TOA represents the trigonometric ratios for the sine, cosine, and tangent functions.…
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