Trigonometric Functions and Ratios

The video tutorial explains the origins and meanings of trigonometric ratios: sine, cosine, and tangent. It begins with an introduction to trigonometric ratios and their significance in right-angle triangles. The sine function is discussed in detail, highlighting its derivation from the word 'curve' and its graphical representation as a sinusoidal curve. The cosine function is explained as the complement of sine, emphasizing its relationship with complementary angles. Finally, the video introduces the tangent function, setting the stage for further exploration.

Which trigonometric ratios are introduced in the beginning of the video?

• Sine, Cosine, Tangent, Secant

• Sine, Cosine, Cosecant, Cotangent

• Sine, Tangent, Cotangent, Secant

• Cosine, Tangent, Secant, Cosecant

What does the word 'sine' originate from?

• A word meaning 'straight'

• A word meaning 'curve'

• A word meaning 'angle'

• A word meaning 'line'

What shape does the graph of the sine function form?

• Exponential

• Sinusoidal

• Parabolic

• Linear

What does the 'co' in cosine stand for?

• Curve

• Constant

• Coordinate

• Complement

How is the cosine of an angle related to its complement?

• It is equal to the tangent of the complement

• It is equal to the tangent of the angle

• It is equal to the sine of the complement

• It is equal to the sine of the angle

In a right-angle triangle, what is the sine of an angle defined as?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Adjacent over opposite

• Hypotenuse over opposite

In a right-angle triangle, what is the cosine of an angle defined as?

• Hypotenuse over adjacent

• Opposite over adjacent

• Adjacent over hypotenuse

• Opposite over hypotenuse

What is the relationship between sine and cosine in a right-angle triangle?

• Sine is the complement of cosine

• Cosine is the complement of sine

• Sine and cosine are equal

• Sine and cosine are unrelated

What is the traditional name for the side opposite the angle in a right-angle triangle?

• Hypotenuse

• Complement

• Adjacent

• Opposite

What trigonometric function is introduced at the end of the video?

• Tangent

• Cotangent

• Cosecant

• Secant