Join now for JEE/NEET and also prepare for Boards Join now for JEE/NEET and also prepare for Boards. Register Now
Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
If tanA1, tan A2, tanA3 and tanA4 are the roots of the equation x^4 - x^3 sin2q + x^2 cos2q - x cosq - sinq = 0 then tan(A1 + A2 + A3 + A4) is equal to (a)sinq (B)cosq (C)tanq (D)cotq If tanA1, tan A2, tanA3 and tanA4 are the roots of the equation x^4 - x^3 sin2q + x^2 cos2q - x cosq - sinq = 0 then tan(A1 + A2 + A3 + A4) is equal to (a)sinq (B)cosq (C)tanq (D)cotq
Dear Ajay let s1= sum of the roots taken one at a time = -(-sin2q)=sin2q s2=sum of the roots taken two at a time = cos2q s3=sum of the roots taken two at a time = -(-cosq)=cosq s4= sum of the roots taken four at a time = -sinq tan(A1+A2+A3+A4)= (s1-s3)/(1-s2-s4) = (sin2q-cosq)/(1-cos2q-sinq) = (2sinq*cosq - cosq)/(2sin2q - sinq) =cosq(2sinq-1)/sinq(2sinq-1) =cotq option D All the best. AKASH GOYAL AskiitiansExpert-IIT Delhi Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation. Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian. Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar respectively : Click here to download the toolbar..
Dear Ajay
let s1= sum of the roots taken one at a time = -(-sin2q)=sin2q
s2=sum of the roots taken two at a time = cos2q
s3=sum of the roots taken two at a time = -(-cosq)=cosq
s4= sum of the roots taken four at a time = -sinq
tan(A1+A2+A3+A4)= (s1-s3)/(1-s2-s4) = (sin2q-cosq)/(1-cos2q-sinq)
= (2sinq*cosq - cosq)/(2sin2q - sinq)
=cosq(2sinq-1)/sinq(2sinq-1)
=cotq
option D
All the best.
AKASH GOYAL
AskiitiansExpert-IIT Delhi
Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.
Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.
Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar respectively : Click here to download the toolbar..
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -