Advertisements
Advertisements
Question
Which of the following is correct?
[Hint: 1 radian = `180^circ/pi = 57^circ30^'` approx]
Options
sin1° > sin1
sin1° < sin1
sin1° = sin1
sin1° = `pi/180^circ sin1`
Solution
sin1° < sin1
Explanation:
We know that if θ increases then the value of sin θ also increases
So sin1° < sin1 .....`[because 1 "radian" = pi/180 sin1]`
APPEARS IN
RELATED QUESTIONS
Find the radian measure corresponding to the following degree measure:
25°
Find the degree measure corresponding to the following radian measure `(use pi = 22/7)`
`11/16`
Find the degree measures corresponding to the following radian measures (Use `pi = 22/7`)
`(5pi)/3`
Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm
(Use `pi = 22/7`)
Find the degree measure corresponding to the following radian measure:
11c
Find the radian measure corresponding to the following degree measure: 35°
Find the radian measure corresponding to the following degree measure: 135°
Find the radian measure corresponding to the following degree measure: 125° 30'
One angle of a triangle \[\frac{2}{3}\] x grades and another is \[\frac{3}{2}\] x degrees while the third is \[\frac{\pi x}{75}\] radians. Express all the angles in degrees.
The angles of a triangle are in A.P. such that the greatest is 5 times the least. Find the angles in radians.
A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?
The radius of a circle is 30 cm. Find the length of an arc of this circle, if the length of the chord of the arc is 30 cm.
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 diameter of the sun in km supposing that it subtends an angle of 32' at the eye of an observer. Given that the distance of the sun is 91 × 106 km.
The angle between the minute and hour hands of a clock at 8:30 is
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
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
A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop whose radius is 48 cm. Find the angle in degrees which is subtended at the centre of hoop.
Find the value of tan 9° – tan 27° – tan 63° + tan 81°
Prove that `(sec8 theta - 1)/(sec4 theta - 1) = (tan8 theta)/(tan2 theta)`
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.
The equality sinA + sin2A + sin3A = 3 holds for some real value of A.