Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 150 off


Find the value of a for which the eqn 

4 cosec 2 (π (a+x) ) + a2 - 4a = 0 has a real solution.

6 years ago


Answers : (1)


Dear Sanchit

4 cosec 2 (π (a+x) ) + a2 - 4a = 0

4 cosec 2 (π (a+x) ) =- a2 + 4a 

L .H .S is always greater than 4 so for real solution

 -a2 + 4a ≥4

or (a-2)2≤0

so only a=2 is possible

Please feel free to post as many doubts on our discussion forum as you can.
 If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

 All the best.
Askiitians Experts

6 years ago

Post Your Answer

Other Related Questions on Trigonometry

Proved that acosA+bcosB+ccosC=2asinBsinC please help sir
Use properties of triangles. let area of triangle be Ar. Then bcsinA= casinB = absinC = 2Ar thus write all sin terms in terms of Ar. and also use a/sinA = b/sinB = c/sinC = k.
Vikas TU 2 months ago
1)prove that (cos x)cos(60-x)cos(60+x) = ¼ cos3x 2)sin 2x -sin5x + sin6x = 0
Use exopansion property of cos(A+B) and apply you will get the answer. Take sin5x on other side and then use the clubbing property of sinA+sinB.
Sourabh Singh 2 months ago
trigonometric ratios of sub multiple angles: tan theta
trigonometric ratios of sub multiple angles: tan theta are: tan2A = 2tanA/(1-tan^2A) tanA = root((1-cos2A)/(1+cos2A)) tan3A = (3sinA – 4sin^3A)/(4cos^3A – 3cosA)
Vikas TU one month ago
The sum to n terms of the series 1/4+7/16+37/64+175/256...
The general term of the sequence can be written as a k = 1 – (3/4) k . This sum of the sequence can be found out using the well known formula for n-terms of a geometric progression.
mycroft holmes 3 months ago
I am not sure the question is correct. The series do not have any pattern if the third term of series is 35/7 instead of 37/5, it can be summed easily. Please confirm.
Ajay 3 months ago
what is cross product ?what is cross product of a and b?
cross product can b defined as the product of two quantities which have magnitude and direction. a*b=absin∂
DEEPTHI JANGA 7 months ago
PRODUCT OF TWO VECTORS IS CALLED AS VECTOR PRODUCT. AXB=(a2b3-a3b2)i-(a1b3-a3b1)+(a1b2-a2b1)k this the way to find cross product of two vectors
RIYAZSHAIK 7 months ago
Cross product can be defined as the product of two vectors having magnitude and direction and result is vector. a*b=absin∂
M.EBENEZER 7 months ago
Given the three circles x 2 +y 2 -16x+60=0, 3x 2 +3y 2 -36x+81=0,x 2 +y 2 -16x-12y+84=0,find (i)the point from which the tangents to them are equal in length and (ii)this length.
let that point be (h.k) Now we know that Length of tangent is given by root(S1) So length of tangent to circle 1 is root(h2+k2-16h+60) Similarily for other two and then equate all the...
Nishant Vora one month ago
The radical axis of two circles has the property that the tangents drawn from a point on it to both the circles will have the same length. Radical axis equation quite naturally is S 1 =S 2...
mycroft holmes one month ago
Can you plz explain it clearly to me to understand?? thanking you Sir..............................................................................................................
Hansraj Gyanendra Singh Rajawat one month ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 150 off

More Questions On Trigonometry

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details