Home
Class 12
MATHS
Find the value of sqrt(3)cosec2 0^0-sec2...

Find the value of `sqrt(3)cosec2 0^0-sec2 0^0`

A

2

B

2 sin `20^(@)//sin 40^(@)`

C

4

D

`4 sin 20^(@)//sin40^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given expression =
`sqrt(3) cosec 20^(@)-sec 20^(@) = tan 60^(@) cosec 20^(@) - sec 20^(@)`
`=(sin 60^(@) cos 20^(@) - cos60^(@).sin20^(@))/(cos60^(@).sin20^(@)cos20^(@))`
`=(sin(60^(@)-20^(@)))/(cos60^(@).sin20^(@).cos20^(@)) = (sin 40^(@))/((1)/(2).sin20^(@) cos20^(@))`
`=(2sin20^(@) cos 20^(@))/((1)/(2)sin 20^(@) cos 20^(@)) = 4`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the value of sqrt3" cosec "20^(@)-sec 20^(@)

Find the value of sqrt((log_(0.5)4)^(2)) .

Use differentials to find the value of sqrt(0.037) .

Column I Column II The value of ((4+sec20^0)/(cosec20^0))^2 , is p. 1 The minimum value of (1+cos2x+8sin^2x)/(2sin2x),x(0,pi/2) is q. 2 The value of (8sin40^0dotsin50^0dottan10^0)/(cos80^0) r. 3 If (cos5A)/(cosA)+(sin5A)/(sinA)=a+bcos4A , then (a^2)/b is s. 4

Find the value of sec^(-1) (-2/(sqrt(3)))

Find the value of sec^(2)(cot^(-1)3) + "cosec"^(2)(tan^(-1)2)

Find the principal value of cosec^(-1)(-sqrt(2))

Find the value of |1 2 4-1 3 0 4 1 0|

Find the value of discriminant. sqrt(2)x^(2)+4x+2sqrt(2)=0