If a = cos (2012 pi), b = sec (2013 pi) ...

If `a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi)` then

` a lt b lt c`

`b lt c lt a`

`c lt b lt a`

`a=b lt c`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos
TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 11|10 Videos
TRIGONOMETRIC EQUATIONS AND INEQUATIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
VECTOR ALGEBRA
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If tan( pi cos theta) = cot ( pi sin theta) then sin (theta + pi/4) equals

If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c a

Prove that sin^(2) (pi/6) + cos^(2) (pi/3) - tan^(2) (pi/4) = - (1)/(2)

The value of 4 cos(pi/10)-3 sec(pi/10)- 2 tan(pi/10) is equal to

cos (cos^-1 cos((8pi)/7) +tan^-1 tan(8pi/7)) has the value equal to -

Let A=[("tan"pi/3,"sec" (2pi)/3),(cot (2013 pi/3),cos (2012 pi))] and P be a 2 xx 2 matrix such that P P^(T)=I , where I is an identity matrix of order 2. If Q=PAP^(T) and R=[r_("ij")]_(2xx2)=P^(T) Q^(8) P , then find r_(11) .

Prove that sec theta + tan theta = tan (pi/4 + theta/2)

If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi//4) is equal to

If A +B+C= pi and /_C is obtuse then tan A. tan B is

Statement I y = tan^(-1) ( tan x) " and " y = cos^(-1) ( cos x) " does not have nay solution , if " x in (pi/2, (3pi)/2) Statement II y = tan^(-1)( tan x) = x - pi, x in (pi/2, (3pi)/2) " and " y = cos^(-1) ( cos x) = {{:(2pi - x", " x in [pi, (3pi)/2]),(" x, " x in [pi/2,pi]):}

ARIHANT MATHS ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)

Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+...
Text Solution
|
The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is
Text Solution
|
If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then
Text Solution
|
In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...
Text Solution
|
The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...
Text Solution
|
In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...
Text Solution
|
An equilateral triangle has side length 8. The area of the region cont...
Text Solution
|
If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3a...
Text Solution
|
If AD is the altitude on BC and AD produced meets the circumcircle of ...
Text Solution
|
One side of a rectangular piece of paper is 6 cm, the adjacent sides b...
Text Solution
|
Prove that the average of the numbers n sin n^@, n = 2,4,6...180 is c...
Text Solution
|
A circle is inscribed inside a regular pentagon and another circle is ...
Text Solution
|
The value of sum(r=1)^(18) cos^(2)(5r)^(@), where x^(@) denotes the x ...
Text Solution
|
Minimum value of 4x^2-4x|sin theta|-cos^2 theta is equal
Text Solution
|
In a triangle ABC, cos 3A + cos 3B + cos 3C = 1, then find any one ang...
Text Solution
|
(sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |...
Text Solution
|
For any real theta, the maximum value of cos^(2)(costheta)+sin^(2)(sin...
Text Solution
|
Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)
Text Solution
|
ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...
Text Solution
|
If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...
Text Solution
|