If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel turn? Answer in radians (to the nearest tenth) and degrees (to the nearest degree).

Q: Convert the angle 2.5 radians to degrees, rounding to the nearest 1oth.

A: Since,  π radian=180°1radian=180°π Hence, to convert radian into degree, multiply by a factor of…

Q: in a circle of radius 8 miles, the length of the arc that subtends a central angle of 6 radians is…

A: This question is related to arc and central angle of circle.

Q: Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute…

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Q: If the terminal side of angle 0 passes through a point on the unit circle in the first quadrant…

A:

Q: If the sine of an angle is .75, what is the measure of the angle to the nearest degree?

A: sinƟ = 0.75Ɵ = sin-1(0.75) = 48.6° = 49°tan-1(0.05) = 2.86° = 3°

Q: A flashlight has a beam that travels 5 ft and covers an area bounded by an arc measuring radians 10…

A: On solving this we will get:-

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 4 radians is…

A:

Q: In a circle of radius 6 miles, the length of the arc that subtends a central angle of 4 radians is…

A: Formulation: Let us consider the circle of radius r miles. Let the length of the arc that subtends a…

Q: Through what angles (measured in radians) do the minute hand and the hour hand of a clock move…

A: Given- Clock movement between 1:00 p.m. and 4:15 pm on the same day. To find- The angles between the…

Q: In a circle of radius 18 inches, the length of the arc subtended by a central angle of 1.1 radians…

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Q: 25. In which quadrant would the terminal ray of an angle lie if it had a positive tangent and a…

A: Properties Quadrant I: cosine,tangent and sine are positive. Quadrant II: cosine and tangent are…

Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: Find The link of an arc of a circle of diameter 14 m subtended by a central angle of 3pi/4 radians

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Q: Given the triangle, find the angle 0 in radians. Round to the nearest tenth.

A: Given the triangle below, our aim is to find the value of angle θ in radians.

Q: If the central angle is 4π/3 radians, what should the radius of a circle be to make the arc length 2…

A: Given that central angle is 4π/3 radians Arc length =2m To find the radius of a circle

Q: Rounded to the nearest hundredth, how many degrees are contained in an measuring 3.2 radians? angle

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Q: Use a calculator to find the value of the acute angle θ to the nearest degree, sin u = 0.2974

A: According to the question, we have to find the value of sin u=0.2974 to the nearest degree using…

Q: In ΔCDE, the measure of ∠E=90°, DC = 37, ED = 35, and CE = 12. What is the value of the sine of ∠D…

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Q: Find the bearing of the ship. Round to the nearest tenth of a degree if necessary.

A: To determine the bearing of the ship.

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given ,  L = 30 cm = 0.3 m  r = d/2 = 1/2 =0.5 m  L = rθ

Q: If drawn in standard position, which quadrant? an angle that measures 5 radians will be located in

A: We will find in which quadrant the angle is located as following.

Q: The radian measure of an angle of 244 degrees is

A:

Q: Serena is skiing around a circular trail that has a four kilometer radius. If she travels through an…

A: Distance travelled around path will be given by S=θ2π×2πRS=θR

Q: In triangle ABC, A = 40 degree , b = 19 ft, and a =18 ft. Use the law of sines to find sin Band then…

A: Given in ∆ABC,  ∠A = 40° , a = 18ft b = 19ft, ∠B = ?

Q: The angle between 0 and 27 in radians that is coterminal with the angle 14 5 Tin radians is

A:

Q: Convert the angle 5 radians to degrees, rounding to the nearest 1oth.

A: The angle in radian is given by θ = 5 radian To evaluate : The angle in degree.

Q: The angle between 0 and 2T in radians that is coterminal 26 ·T in radians is 9. with the angle |

A:

Q: In a circle of radius 60cm an arc 116cm long subtends an angle of how many​ radians? How many​…

A:

Q: At 1 1 o'clock the hands of a clock form an angle of___?

A: We know that the circle makes an angle of 360 degree.

Q: The radian measure of an angle of 60 degrees is

A: It is conversion of degree into radian.

Q: Convert the angle in degrees to radians. Round to two decimal places. - 59° - 59° = radians (Round…

A: topic- degrees to radian conversion

Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

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Q: 6. Determine the measure of an angle in Quadrant 4 which would have the same sine value as 185°

A: The trigonometric function, sin(1850)=sin(1800+50)=-sin(50)                             As…

Q: A circle with a central angle of 135°, and the length of the arc is 67 radians. How long is the…

A:

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given,1-meter diameter wheel is rolling forward, 30 cm over level ground.To find an angle for which…

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the length of the arc intercepted by a central angle of (2\pi )/(5) radians to a circle radius…

A:

Q: An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the angle of the…

A: Consider the angle θ at the center covered by the arc of length 123.53 mm. Here, the objective is to…

Q: If A and B both lie on a circle with an area of 25r, and the length of AB is 47, what is the radian…

A:

Q: The rear wheel of a tractor has a 23​-in radius. Find the angle​ (in​ radians) through which a wheel…

A: The radius of the wheel is 23 in, the time taken to rotate the wheel is 13 sec and the speed of the…

Q: Convert the angle 2 radians to degrees. Round to two decimal places.

A: We have to convert the angle 2 radians to degrees up to two decimal places. We know the relationship…

Q: Find the measurement of the indicated angle. Round to the nearest tenth, if needed. cos K = 0.3792 K…

A: Given, cosK = 0.3792  We have to find the value of K in degrees.

Q: What is the angular speed in radians per second of a large flywheel that rotates through an angle of…

A: In 2 seconds it rotates 200 degrees So in 1 second it will rotate (200/2)=100 degree So the angular…

Q: The angle between 0 and 2T in radians that is coterminal 62 T in radians is 9 with the angle

A: To get coterminal angles, we have to add or subtract 2π.

Q: What is the radian measure of a 300º angle

A:

Q: In a circle with a radius of 10 inches, an arc is intercepted by a central angle of 2 radians. What…

A: Given radius 10 inches Centre angle = 2 radian

Q: Use a calculator to find the value of the acute angle 0 in radians, rounded to three decimal places.…

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.