Thank you for registering.

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

Please check your email for login details.
Close
MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping

if cosα=1/√2, sinβ=1/√3, show that tanα+β/2.cotα-β/2=5+2√6 or 5-2√6.

if cosα=1/√2, sinβ=1/√3, show that
tanα+β/2.cotα-β/2=5+2√6 or 5-2√6.

Grade:12th pass

1 Answers

Kuldeep Pal
53 Points
5 years ago
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.

Think You Can Provide A Better Answer ?

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

Other Related Questions on Trigonometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Register ICAT

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More