Turn on thread page Beta
    • Thread Starter
    Offline

    0
    ReputationRep:
    proof sin(x)<x for x>0

    How do i go about it
    Offline

    20
    ReputationRep:
    for x>1 we know that sinx < x, because |sinx| ≤ 1,

    so you just have to concentrate on values of x such that 0 < x < 1
    Offline

    15
    ReputationRep:
    You can show that the line y=x is tangent to y=sinx at x=0 and then if you show that sinx drops below the line then clearly they never meet again - you have to show this in a mathematical way though rather than just how I've said it.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: January 13, 2017
Poll
Do you think parents should charge rent?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.