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
Grade: 12th pass
        
if cosα=1/√2, sinβ=1/√3, show that
tanα+β/2.cotα-β/2=5+2√6 or 5-2√6.
3 years ago

Answers : (1)

Kuldeep Pal
53 Points
							
cos(a)=1/\sqrt{2}
so, a=\pi/4
tan(a+b/2).cot(a-b/2)={sin(a+b/2).sin(a-b/2)}/{cos(a+b/2).cos(a-b/2)}
{Sin(a+b/2+a-b/2)+sin(a+b/2+a-b/2)}/{sin(a+b/2+a-b/2)-sin(a+b/2-a+b/2)}
{Sin(2a)+Sin(b)}/{Sin(2a)-sin(b)}
On Putting a=\pi/4,
{Sin(\pi/2)+Sin(b)}/{Sin(\pi/2)-Sin(b)}
For .. cos(b)=\sqrt{1-sin^{2}(b)}
     cos(b)= \sqrt{2/3}
On putting this value.
       {1+\sqrt{2/3}}/{1-\sqrt{2/3}}
On factorising We get The Proof.
3 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 31 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

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