If the maximum value of the expression 1...

If the maximum value of the expression `1/(5sec^2theta-tan^2theta+4cosec^2theta)` is equal to `p/q` (where p and q are coprime), then the value of `(p+q)` is

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos
TRIGONOMETRIC EQUATIONS AND INEQUATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
VECTOR ALGEBRA
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Maximum value of the expression log_(3)(9-2 cos^(2)theta-4 sec^(2) theta) is equal to

Find the minimum value of sec^2 theta + cosec^2 theta - 4.

The maximum value of the expression (1)/(sin ^(2) theta + 3 sin theta cos theta + 5 cos^(2) theta ) is __________.

What will be the value of the expression sec theta + tan theta and sin theta =21/29 when theta lies between pi/2 and pi ?

Prove that (sec^2theta-sin^2theta)/tan^2theta=cosec^2theta-cos^2theta .

The expression log_2 5-sum_(k=1)^4 log_2(sin((kpi)/5)) reduces to p/q, where p and q are co-prime, the value of p^2+q^2 is

If tan theta=1/ sqrt7 , then ((cosec^2 theta-sec^2 theta)/(cosec^2 theta+sec^2 theta)) =

If the distance from the point P(1, 1, 1) to the line passing through the points Q(0, 6, 8) andR(-1, 4, 7) is expressed in the form sqrt((p)/(q)) , where p and q are co-prime, then the value of ((q+p)(p+q-1))/(2) is equal to

If 5 sin theta = 3 , find the value of (sec theta -tan theta)/ (sec theta +tan theta) .

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

Suppose that 'a' is a non-zero real number for which sin x+sin y=a and...
Text Solution
|
Let P(x)=sqrt(( cosx +cos2x+cos3x)^2+ (sin x + sin 2x+sin3x)^2) then P...
Text Solution
|
If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cose...
Text Solution
|
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 a. ...
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 cos 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
|