हिंदी

State whether the statement is True or False? Also give justification. The equality sinA + sin2A + sin3A = 3 holds for some real value of A.

Advertisements
Advertisements

प्रश्न

State whether the statement is True or False? Also give justification.

The equality sinA + sin2A + sin3A = 3 holds for some real value of A.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is False.

Explanation:

Given that: sinA + sin2A + sin3A = 3

Since the maximum value of sin A is 1 but for sin 2A and sin 3A it is not equal to 1.

So it is not possible.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometric Functions - Exercise [पृष्ठ ६०]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 3 Trigonometric Functions
Exercise | Q 69 | पृष्ठ ६०

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find the radian measure corresponding to the following degree measure:

– 47° 30'


Find the radian measure corresponding to the following degree measure:

240°


Find the degree measure corresponding to the following radian measure `(use  pi = 22/7)`

`11/16`


Find the degree measure corresponding to the following radian measure (Use `pi = 22/7`)

-4


Find the degree measures corresponding to the following radian measures (Use `pi = 22/7`)

`(5pi)/3`


If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.


Find the degree measure corresponding to the following radian measure: 
(−3)c


Find the degree measure corresponding to the following radian measure: 
 1c


Find the radian measure corresponding to the following degree measure: −56°


Find the radian measure corresponding to the following degree measure: 135°


Find the radian measure corresponding to the following degree measure: −300°


Find the radian measure corresponding to the following degree measure: 7° 30'


The difference between the two acute angles of a right-angled triangle is \[\frac{2\pi}{5}\] radians. Express the angles in degrees.

 

 


Find the magnitude, in radians and degrees, of the interior angle of a regular pentagon.


Find the magnitude, in radians and degrees, of the interior angle of a regular octagon.


Find the magnitude, in radians and degrees, of the interior angle of a regular duodecagon.


The angles of a triangle are in A.P. such that the greatest is 5 times the least. Find the angles in radians.


A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25° in a distance of 40 metres?

 

A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

 

A railway train is travelling on a circular curve of 1500 metres radius at the rate of 66 km/hr. Through what angle has it turned in 10 seconds?

 

Find the distance from the eye at which a coin of 2 cm diameter should be held so as to conceal the full moon whose angular diameter is 31'.


If D, G and R denote respectively the number of degrees, grades and radians in an angle, the 


At 3:40, the hour and minute hands of a clock are inclined at


If the arcs of the same length in two circles subtend angles 65° and 110° at the centre, than the ratio of the radii of the circles is


If OP makes 4 revolutions in one second, the angular velocity in radians per second is


A circular wire of radius 7 cm is cut and bent again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is


If θ lies in the second quadrant, then show that `sqrt((1 - sin theta)/(1 + sin theta)) + sqrt((1 + sin theta)/(1 - sin theta))` = −2sec θ


Prove that `(sec8 theta - 1)/(sec4 theta - 1) = (tan8 theta)/(tan2 theta)`


“The inequality `2^sintheta + 2^costheta ≥ 2^(1/sqrt(2))` holds for all real values of θ” 


The value of tan1° tan2° tan3° ... tan89° is ______.


The value of cos1° cos2° cos3° ... cos179° is ______.


State whether the statement is True or False? Also give justification.

Sin10° is greater than cos10°


State whether the statement is True or False? Also give justification.

`cos  (2pi)/15 cos  (4pi)/15 cos  (8pi)/15 cos  (16pi)/15 = 1/16`


State whether the statement is True or False? Also give justification.

One value of θ which satisfies the equation sin4θ - 2sin2θ - 1 lies between 0 and 2π.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×