Practice Basic Identities (8.2) - Properties of Triangles - IB 10 Mathematics

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6 sample questions

Question 1.
What is the value of cos(30°)?
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Use the Pythagorean identity.
Question 2.
Write the Pythagorean identity.
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Think about the relationships in a right triangle.
3Question 3.
What is the Pythagorean identity?
- sin²A + cos²A = 1
- tan²A + cos²A = 1
- sinA + cosA = 1
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Recall the fundamental Pythagorean theorem.
4Question 4.
True or False: If sin(A) is 0.5, then cos(A) can be found with the formula cos(A) = √(1 - sin²A).
- True
- False
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Consider how sine and cosine relate to each other.
Question 5.
A right triangle has an angle A where sin(A) = 0.4. Find cos(A) and tan(A).
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Use the Pythagorean identity to find cos first.
Question 6.
Show that if tan(A) = 3/4, then sin(A) and cos(A) can be derived from these identities.
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Draw a right triangle and relate the sides to sine and cosine.

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