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Welcome to this blog, peace be with You. This blog contains mathematics and physics matters. As the addition service to our tuition programs, we hope this blog can support the matter given in the class and enrich them. Many subject will be uploaded time by time as our progressive effort, and you can download it for free. Some sample problems may be useful for public as their exercises. Thanks for the support, hope this blog can be useful.God Bless You….

Friday, October 29, 2010

Trigonometry Identity

Many secondary students think it is hard to prove trigonometry identities. It is absolutely true if they don't remember the basic formula well. For those who have the formulas in their mind, they still need more exercises to increase their confidence against the problems.

By practicing and practicing, you will be more and more skillful in this subject.

This is the list of the simplest formulas for trigonometry identity.


Then there are some formulas, that is rather difficult than the previous ones. Here they are :


From these formulas, we can derive another harder formulas like some formulas below.

There are also some useful shorthand formulas derived form the formulas above. Think about the formula for

This fomula is derived from the base formula

Using this formula directly despite of writing of the process from the basic formula will reduce our work in solving the identity problems.
Below I want to present one tricky formula than can be directly used in some situations.

This is beautiful I think. Through many practicing to solve problems, you can develop your skill and expanding your scoop and overview about trigonometry identities. I have some solved exercises for you. You can see how they solved. You may try your best with your own way to solve the problem. What I have worked for you just one of the some ways that may be exist. Here is the link you can use to download the solved problems. Wish you luck.... (email me for the password).

Friday, October 22, 2010

Vector

I have 39 solved problems about vector as an introduction for grade 12 (Indonesian SMA students). Start from the simplest to a little bit tricky questions. I'm glad to give you more exercises with keys. You can download it by clicking the download below. Hope you enjoy it..... God Bless You.
Download Vector Solved Problems

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