Advertisements
Advertisements
प्रश्न
Find the value of `sqrt(3)` cosec 20° – sec 20°
Advertisements
उत्तर
We have
`sqrt(3)` cosec 20° – sec 20° = `sqrt(3)/(sin20^circ) - 1/(cos20^circ)`
= `(sqrt(3) cos 20^circ - sin 20^circ)/(sin 20^circ cos 20^circ)`
= `4((sqrt(3)/2 cos 20^circ - 1/2 sin 20^circ)/(2sin 20^circ cos 20^circ))`
= `4((sin60^circ cos20^circ - cos60^circ sin20^circ)/sin40^circ)`
= `4((sin(60^circ - 20^circ))/(sin 40^circ))`
= 4
APPEARS IN
संबंधित प्रश्न
Find the radian measure corresponding to the following degree measure:
25°
Find the radian measure corresponding to the following degree measure:
240°
Find the radian measure corresponding to the following degree measure:
520°
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 corresponding to the following radian measure (use `pi= 22/7`).
`(7pi)/6`
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length
15 cm
Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length
21 cm
Find the degree measure corresponding to the following radian measure:
\[\left( \frac{18\pi}{5} \right)\]
Find the degree measure corresponding to the following radian measure:
(−3)c
Find the degree measure corresponding to the following radian measure:
11c
Find the radian measure corresponding to the following degree measure: −56°
Find the radian measure corresponding to the following degree measure: 7° 30'
Find the magnitude, in radians and degrees, of the interior angle of a regular pentagon.
The angles of a triangle are in A.P. and the number of degrees in the least angle is to the number of degrees in the mean angle as 1 : 120. Find the angles in radians.
The angles of a triangle are in A.P. such that the greatest is 5 times the least. Find the angles in radians.
The number of sides of two regular polygons are as 5 : 4 and the difference between their angles is 9°. Find the number of sides of the polygons.
Find the length which at a distance of 5280 m will subtend an angle of 1' at the eye.
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.
If the arcs of the same length in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii.
The angle between the minute and hour hands of a clock at 8:30 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
The radius of the circle whose arc of length 15 π cm makes an angle of \[\frac{3\pi}{4}\] radian 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°
If tan θ = `(-4)/3`, then sin θ is ______.
The value of tan1° tan2° tan3° ... tan89° is ______.
Which of the following is correct?
[Hint: 1 radian = `180^circ/pi = 57^circ30^'` approx]
State whether the statement is True or False? Also give justification.
The equality sinA + sin2A + sin3A = 3 holds for some real value of A.
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.
