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 cotA+cotB=a, tanA+ tanB=b a+b=c then show (a-b) tan c= ab

If
cotA+cotB=a, tanA+ tanB=b
a+b=c
then show  (a-b) tan c= ab

Grade:11

2 Answers

Lab Bhattacharjee
121 Points
5 years ago
a=\cot A+\cot B=\dfrac{\tan B+\tan A}{\tan B\tan A}=\dfrac b{\tan B\tan A} \\ \implies\tan A\tan B=\dfrac ba \\ \tan C=\tan(A+B)=\dfrac{\tan A+\tan B}{1-\tan A\tan B}=\dfrac b{1-\dfrac ba}=?
Raghu Vamshi Hemadri
72 Points
5 years ago
a=\cot A+\cot B=\dfrac{\tan B+\tan A}{\tan B\tan A}=\dfrac b{\tan B\tan A} \\ \implies\tan A\tan B=\dfrac ba \\ \tan C=\tan(A+B)=\dfrac{\tan A+\tan B}{1-\tan A\tan B}=\dfrac b{1-\dfrac ba}=?

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