Trigonometric Functions and Angle Simplification

The video tutorial covers the concept of negative angles in trigonometry, emphasizing the method of adding 360 degrees to simplify calculations. It provides examples and highlights common mistakes students make. The tutorial also addresses handling angles in non-standard forms and those exceeding 360 degrees, concluding with tips on angle reduction.

What happens to sin(θ) when θ is negative?

• It remains the same.

• It becomes positive.

• It doubles.

• It becomes negative.

What is the best way to handle negative angles in an exam?

• Memorize all rules.

• Use a calculator.

• Subtract 180 degrees.

• Add 360 degrees.

How do you simplify sin(-45) using the 360-degree rule?

• sin(405)

• sin(45)

• sin(315)

• sin(90)

In which quadrant does the angle 360 - 45 lie?

• Second quadrant

• Fourth quadrant

• First quadrant

• Third quadrant

What is the simplified form of sin(360 - 45)?

• sin(135)

• sin(45)

• sin(315)

• sin(225)

Why might students get confused with multiple trigonometric rules?

• There are too many to remember.

• They are not taught in school.

• They are too similar.

• They are too simple.

What is the result of cos(-30) after adding 360 degrees?

• cos(0)

• cos(30)

• cos(330)

• cos(60)

What is the result of cos(360 - 30) in terms of positivity?

• Zero

• Undefined

• Positive

• Negative

What is the simplified form of cos(360 - 30)?

• cos(0)

• cos(60)

• cos(30)

• cos(330)

What is the simplified form of cos(-225) using the 360-degree rule?

• cos(135)

• cos(45)

• cos(315)

• cos(225)