Year 10 Trigonometry and Pythagoras Concepts

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Questions and Answers

What is the Pythagoras Theorem?

a^2 + b^2 = c^2

What does SOH CAH TOA stand for?

Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, Tangent = Opposite / Adjacent

What are angles of elevation and depression?

Angles of elevation are measured upwards from the horizontal, while angles of depression are measured downwards from the horizontal.

What are bearings?

Bearings are angles measured clockwise from North. Signup and view all the answers

What is 3-Dimensional Trigonometry?

3-Dimensional Trigonometry involves applying trigonometric principles to solve problems in three-dimensional space. Signup and view all the answers

What is the Sine Rule?

a/sin(A) = b/sin(B) = c/sin(C) Signup and view all the answers

How do you find the area of right-angled triangles?

1/2 * base * height Signup and view all the answers

Flashcards

Pythagoras Theorem

In a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

SOH CAH TOA

These are trigonometric ratios. SOH: Sine = Opposite / Hypotenuse. CAH: Cosine = Adjacent / Hypotenuse. TOA: Tangent = Opposite / Adjacent.

Angles of Elevation and Depression

Angle of Elevation: The angle from the horizontal upwards to an object. Angle of Depression: The angle from the horizontal downwards to an object.