Angles and Triangles Concepts

The video tutorial covers the calculation of primary trigonometric ratios for angles -30 and 480 degrees. It explains the concept of negative angles moving clockwise and positive angles moving counterclockwise, identifying the relevant quadrants and related acute angles. The tutorial uses special triangles to determine sine, cosine, and tangent values, emphasizing the CAST rule for sign determination in different quadrants.

What does a negative angle indicate in terms of direction?

• Counterclockwise movement

• Clockwise movement

• No movement

• Vertical movement

In which quadrant does -30 degrees lie?

• Quadrant I

• Quadrant III

• Quadrant II

• Quadrant IV

What is the related acute angle for -30 degrees?

• 90 degrees

• 45 degrees

• 30 degrees

• 60 degrees

What is the sine of -30 degrees?

• 1/2

• -√3/2

• √3/2

• -1/2

What is the cosine of -30 degrees?

• 1/2

• -1/2

• √3/2

• -√3/2

What is the tangent of -30 degrees?

• -√3

• √3

• -1/√3

• 1/√3

Which trigonometric function is positive in Quadrant IV?

• Sine

• Cosine

• None

• Tangent

What is the value of r in the context of trigonometric functions?

• Always negative

• Zero

• Undefined

• Always positive

What does an angle of 480 degrees represent?

• Two full circles

• A full circle minus 120 degrees

• A full circle plus 120 degrees

• A full circle

In which quadrant does 480 degrees lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV