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 tan(x/2) = Cosec x – sin x,then tan 2 (x/2) is equal to

If tan(x/2) = Cosec x – sin x,then tan2(x/2) is equal to

Grade:12

1 Answers

Aman Burnwal
11 Points
3 years ago
Let tan(x/2)=tTherefore Sinx=2t/(1+t^2), Cosec x=(1+t^2)/2tThen the given expression will be reduced to:t=(1+t^2)/2t-2t/(1+t^2)t^4+4t^2-1=0Then we have to find out the value of t^2:Therefore, t^2=-2+√5,-2-√5 (By Shreedharacharya Method)But t^2 never less than 0 as it is a squareTherefore t^2=-2+√5 is the right oneHence tan^(X/2)=-2+√5

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