Class 11 Mathematics - Chapter Trignometric Functions NCERT Solutions | A wheel makes 360 revolutions in one min
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Number of revolutions made by the wheel in 1 minute = 360
∴Number of revolutions made by the wheel in 1 second =360/60 = 6
In one complete revolution, the wheel turns an angle of 2π radian.
Hence, in 6 complete revolutions, it will turn an angle of 6 × 2π radian, i.e.,
12 π radian
Thus, in one second, the wheel turns an angle of 12π radian.
Popular Questions of Class 11 Mathematics
- Q:-
Solve 24x < 100, when
(i) x is a natural number. (ii) x is an integer. - Q:-
Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
- Q:-
A point is on the x-axis. What are its y-coordinates and z-coordinates?
- Q:-
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
(i) repetition of the digits is allowed?
(ii) repetition of the digits is not allowed?
- Q:-
Find the equation of the circle with centre (0, 2) and radius 2
- Q:-
Describe the sample space for the indicated experiment: A coin is tossed three times.
- Q:-
Which of the following sentences are statements? Give reasons for your answer.
(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vi) Answer this question.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.
- Q:- Write the first five terms of the sequences whose nth term is an=n(n+2)
- Q:-
If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).
- Q:-
The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
Recently Viewed Questions of Class 11 Mathematics
- Q:-
Find the sum to n terms of the series 3 × 8 + 6 × 11 + 9 × 14 +…
- Q:-
Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”. C denote the event “three tails show” and D denote the event ‘a head shows on the first coin”. Which events are
(i) mutually exclusive? (ii) simple? (iii) compound?
- Q:-
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment?
- Q:-
How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
(i) repetition of the digits is allowed?
(ii) repetition of the digits is not allowed?
- Q:-
If the sum of n terms of an A.P. is 3n2 + 5n and its mth term is 164, find the value of m.
- Q:- Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER. - Q:-
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
10 Comment(s) on this Question
Thanks sir
Thanks....
Thanks to give the correct simple answer for this solution
Helpful solution
Thanks
Thanks again sir
Thanks a lot...ððððððð
Thanks for help
Thanks for help
Thanks sir
- All Chapters Of Class 11 Mathematics
- All Subjects Of Class 11