Learn to Create a Robotic Device Using Arduino in the Free Webinar. Register Now
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 )
Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
30th Jan @ 5:00PM for Grade 1 to 10
if x and y are the solutions of 12 sinx + 5 cos x= 2 y^2-8y+21, the value of 3864 cot(xy/2) is? if x and y are the solutions of 12 sinx + 5 cos x= 2 y^2-8y+21, the value of 3864 cot(xy/2) is?
LHS=12 sinx+5cosx</ sqrt(144+25)=12sinx+5cosx</13LHS</13RHS=2(y^2-4y)+21=2(y^2-4y+4)-8+21=2(y-2)^2+13hence RHS>/13Roots of the equation exist if LHS=RHS=13=> 2y^2-8y+21=13=>2y^2-8y+8=0=>y^2-4y+4=0=>(y-2)^2=0=>y=212sinx+5cosx=13(12/13)sinx+(5/13)cosx=1cos@sinx+sin@cosx=1 where @=arctan(5/12)sin(x+@)=1=sin(pi/2)x+arctan(5/12)=pi/2x=pi/2-arctan(5/12)=arccot(5/12)cotx=5/12Hence 3864 cot(xy/2)=3864 cotx=3864(5/12)=1610Thanks & RegardsRinkoo GuptaAskIITians Faculty
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -