Flag Discuss with Askiitians Tutors> if 1/6 sinx ,cosx , tanx , are in GP then...
question mark

if 1/6 sinx ,cosx , tanx , are in GP then find the general solution of x . plsssssss anss completly

moidin afsan , 11 Years ago
Grade 11
anser 1 Answers
Rinkoo Gupta

Last Activity: 11 Years ago

Since 1/6 sinx, cosx and tanx are in G.P. So

cos^2x=1/6sinx.tanx
6cos^3x=sin^2x=1-cos^2x
6cos^3x+ cos^2x-1=0
put cosx=y then
6y^3+y^2-1=0
put y=1/2
6/8 +1/4-1=3/4+1/4-1=1-1=0
hence ( y-1/2) is the factor of above eq.
hence the factors are
(y-1/2)(6y^2+4y+2)=0
=>(y-1/2)=0 and second factor have imaginary roots.
so y=1/2
cosx=1/2=cospi/3
x=pi/3

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments