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Radian Measure of Angles Video Lecture | Mathematics (Maths) Class 11 - Commerce
FAQs on Radian Measure of Angles Video Lecture - Mathematics (Maths) Class 11 - Commerce
| 1. What is the definition of radian measure of angles? |  |
Ans. The radian measure of an angle is a unit of measurement for angles, defined as the ratio of the length of the arc it subtends on a circle to the radius of that circle.
| 2. How is the radian measure of an angle related to degrees? | |
Ans. The radian measure of an angle can be converted to degrees by using the conversion factor of 180 degrees equals pi radians, or 1 radian equals 180/pi degrees.
| 3. Why is the radian measure of angles important in mathematics and physics? | |
Ans. Radian measure is preferred in mathematics and physics because it simplifies calculations involving angles, especially when dealing with trigonometric functions. It provides a more natural and intuitive way to express angles in various mathematical and physical contexts.
| 4. How can I convert degrees to radians? | |
Ans. To convert degrees to radians, multiply the degree measure by pi/180. For example, to convert 45 degrees to radians, multiply 45 by pi/180 to get the equivalent value in radians.
| 5. Can you provide an example of how to use radian measure in a trigonometric function? | |
Ans. Sure! Let's consider the sine function. If we have an angle of 30 degrees, we can convert it to radians by multiplying by pi/180, which gives us pi/6 radians. Then, we can use this radian measure to find the sine of the angle, which would be sin(pi/6).
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