Guidelines

When can you not use cosine law?

When can you not use cosine law?

The four parts are three sides and one angle. So you either need 2 sides and an angle to solve for the remaining side or all three sides to solve for an angle. So if you know two angles (which lets you figure out the third so technically three angles) and a side you can’t just use the law of cosines.

What is the condition for applying cosine rule?

To solve a triangle is to find the lengths of each of its sides and all its angles. The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle.

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Can you flip the sine rule?

Finding Angles Using Sine Rule In order to find a missing angle, you need to flip the formula over (second formula of the ones above). Again, it is necessary to label your triangle accordingly.

Does cosine rule apply to all triangles?

Yes, sine and cosine rules can be used for all triangles whether right angled or scalene. a/sin A = b/sin B = c/sin C, does not differentiate between the various types of triangles.

Do you have to remember the cosine rule?

You only need to remember the +2abcos(C) bit. Yep. It’s rearranged to resemble Pythagoras’s formula.

Is the cosine rule only for right angled triangles?

Yes, sine and cosine rules can be used for all triangles whether right angled or scalene. a/sin A = b/sin B = c/sin C, does not differentiate between the various types of triangles. c^2 = a^2 + b^2 + 2ab cos C, does not differentiate between the various types of triangles.

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How do you memorize the cosine rule?

How to Remember

  1. think “abc”: a2 + b2 = c2,
  2. then a 2nd “abc”: 2ab cos(C),
  3. and put them together: a2 + b2 − 2ab cos(C) = c.

What is cosine rule in maths?

The cosine rule states that the square on any one side of a triangle is equal to the difference between the sum of the squares on the other two sides and twice the product of the other two sides and cosine of the angle opposite to the first side.