F.3 Math Trigonometric

2009-04-28 2:05 am
1.Given that tan theta = 3/4 , find the values of sin theta and cos theta by using trigonometric identities.

回答 (2)

2009-04-28 2:35 am
✔ 最佳答案
By Drawing a right-angled triangle and letting angle ABC to be beta.
     a
    /|
   / |
  /  |
b/》__|c

As tan beta = 3/4 = ac/bc
Therefore, ac= 3 and bc = 4
Using Pyth. Theorem, ab will be 5

Therefore, sin beta = ac/ab = 3/5
whereas cos beta = bc/ab = 4/5

大約是這樣, 希望幫到你~
2009-04-28 7:32 am
Given that
tanΘ=3/4
Let ABC is a triangle, so that
∠ABC= Θ
AC=3
BC=4
By Pythagoras' theorem,
AB=5
Hence,
sinΘ=3/5
cosΘ=4/5
Best wish you would improve in mathematics very soon!
bye bye!


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