Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
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

if a cos 2Φ + b sin 2Φ =c has p & q as its solutions, then prove that tan p + tan q =2b/a+c & tan p * tan q = c-a/a+c.

if a cos 2Φ + b sin 2Φ =c has p & q as its solutions, then prove that


tan p + tan q =2b/a+c      & tan p * tan q = c-a/a+c.

Grade:Upto college level

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear nishant

a cos 2Φ + b sin 2Φ =c

a(1-tan2Φ)/(1+tan2Φ)   +  b (2tanΦ)/(1+tan2Φ) =c

 tan2Φ(a+c)  +tanΦ(-2b) +(c-a)=0

now tan p  and tanq  are the solution of this equation

tanp + tanq = 2b/(a+c)

tanp*tanq = (c-a)/(c+a)

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

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free