MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
ravi tyagi Grade: 12
        eliminate(thita) from the equations

atan(thita)+bcot2(thita)=c
and acot(thita)-btan2(thita)=c
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear ravi




 








atanθ+bcot2θ=c  ........1


acotθ-btan2θ=c  ..........2




subtract equation


a(cotθ -tanθ)=b(cot2θ+tan2θ)


a cos2θ/cosθsinθ = b/cos2θ sin2θ


2a/tan2θ  = 2b/sin4θ


sin4θ /tan2θ =b/a


2tan2θ/(1+tan22θ).tan2θ =b/a


let T =tan2θ


2T/(1+T2)T =b/a


T2 =(2a-b)/b  ....................3


and from the equation 1 and 2


c-b/T =atanθ


c+bT =acotθ


multiply


(c-b/T)(c+bT) =a2


c2 -b2 +bc(T-1/T) =a2


c2 -b2 +bc(T2-1)/T =a2


put the value of T


c2 -b2 +bc(2a-2b)/b  .√b/(√2a-b) =a2


2c(a-b)√b =(a2+b2-c2)√(2a-b)


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 preparation.

All the best.
 
Regards,
Askiitians Experts
Badiuddin





Now you can 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.

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details
Get extra Rs. 3,180 off
USE CODE: CHEM20
Get extra Rs. 127 off
USE CODE: CHEM20

Ask Experts

Have any Question? Ask Experts

Post Question

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