Practice Basic Identities (8.2) - Properties of Triangles - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Basic identities

Practice - Basic identities

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the value of cos(30°)?

💡 Hint: Use the Pythagorean identity.

Question 2 Easy

Write the Pythagorean identity.

💡 Hint: Think about the relationships in a right triangle.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Pythagorean identity?

sin²A + cos²A = 1
tan²A + cos²A = 1
sinA + cosA = 1

💡 Hint: Recall the fundamental Pythagorean theorem.

Question 2

True or False: If sin(A) is 0.5, then cos(A) can be found with the formula cos(A) = √(1 - sin²A).

True
False

💡 Hint: Consider how sine and cosine relate to each other.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A right triangle has an angle A where sin(A) = 0.4. Find cos(A) and tan(A).

💡 Hint: Use the Pythagorean identity to find cos first.

Challenge 2 Hard

Show that if tan(A) = 3/4, then sin(A) and cos(A) can be derived from these identities.

💡 Hint: Draw a right triangle and relate the sides to sine and cosine.

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