AS Pure Chapter 9: Trigonometric Ratios

7 flashcards · Mathematics · by TheoTyson

1. What is the cosine rule to find a side length?

   a2=b2+c2−2bccos⁡Aa^2 = b^2 + c^2 -2bc \cos{A}a2=b2+c2−2bccosA

2. What is the cosine rule to find an angle?

   cos⁡A=b2+c2−a22bc\cos{A} = \frac{b^2 + c^2 - a^2}{2bc }cosA=2bcb2+c2−a2​

3. What is the sine rule to find a length?

   asin⁡A=bsin⁡B=csin⁡C\frac{a}{\sin{A}} = \frac{b}{\sin{B}} = \frac{c}{\sin{C}}sinAa​=sinBb​=sinCc​

4. What is the sine rule to find an angle?

   sin⁡Aa=sin⁡Bb=sin⁡Cc\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}asinA​=bsinB​=csinC​

5. What is the sine rule for the area of a triangle?

   Area=12absin⁡CArea = \frac{1}{2}ab \sin{C}Area=21​absinC

6. What are the periods of the sin⁡,cos⁡\sin , \cossin,cos and tan⁡\tantan graphs?

   The sin⁡\sinsin and cos⁡\coscos graphs have a period of 360°360°360° . The tan⁡\tantan graph has a period of 180°180°180° .

7. What are the asymptotes of the tan⁡\tan{}tan graph?

   x=−90°x = -90°x=−90° , x=90°x = 90°x=90° , x=270°x = 270°x=270°