Trigonometric Functions and Angles

The video tutorial introduces the concept of triangles and angles, focusing on calculating unknown angles using trigonometric ratios such as sine, cosine, and tangent. It explains complementary angles and their relationships, generalizes the relationship between sine and cosine, and explores the concept of tangent and its origin.

What is the length of the hypotenuse in a 3-4-5 triangle?

• 6

• 4

• 3

• 5

Which trigonometric function can be used to find an angle if the opposite and adjacent sides are known?

• Secant

• Tangent

• Sine

• Cosine

What is the angle sum property of a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What do complementary angles add up to?

• 90 degrees

• 360 degrees

• 180 degrees

• 45 degrees

If one angle in a right triangle is 37 degrees, what is the measure of its complementary angle?

• 90 degrees

• 180 degrees

• 37 degrees

• 53 degrees

What does the 'cos' in cosine stand for?

• Complement of secant

• Complement of tangent

• Complement of sine

• Complement of cotangent

How can you express sine of an angle in terms of its complementary angle?

• cos(90 - angle)

• cot(90 - angle)

• sec(90 - angle)

• tan(90 - angle)

What is the relationship between sine and cosine for complementary angles?

• They are equal

• They are complements

• They are inverses

• They are identical

What does the term 'tangent' refer to in geometry?

• A line that is perpendicular to a circle

• A line that is parallel to a circle

• A line that touches a circle

• A line that intersects a circle

What is the meaning of 'tangible' in relation to the word 'tangent'?

• Touchable

• Visible

• Untouchable

• Invisible