Week 17 in Precalc 11 – (The sine law and the cosine law)

In this week, I learned about the sine law and the cosine law.

I chose these topics because I never learn about these law in my life. Also, I thought these laws are really useful.

The sine law: In every triangle ABC,

 

I tried to solve practice paper number 8.

 

At first, check the information which I got.

I could see two angles and 1 line value.

So, I should use the sine law in this time.

sin15° divide 10 = sin25° divide X.

I changed this equation like this,

x = 10 sin25° divide sin15°

After this calculate, I could get x = 16.

Answer is 16m.

 

 

Next, I talk about the cosine law.

The cosine law: In every triangle ABC,

 

I tried to solve practice paper number 1.

 

 

 

At first,check the information which I got.

I got 1 angle and 2 lines value.

So, I should use the cosine law in this time.

I could write equation like this,

z square = 20 square + 10 square – 2(10)(20)cos 40°

After calculate, I got z=13.9

This is answer.

 

Overall, the most important thing is check the information and figure out which method to use.

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