Trigonometric Functions and Quadrants

The video tutorial covers graphing angles, understanding reference angles, and identifying points on the unit circle. It explains how to calculate trigonometric functions such as sine, cosine, and their reciprocals, as well as tangent and cotangent. The tutorial emphasizes the importance of understanding these concepts and provides step-by-step instructions for solving related problems.

What is the value of pi in terms of a circle?

• A full circle

• A quarter of a circle

• Half of a circle

• Three-quarters of a circle

If the reference angle is pi over three, what is the distance between the terminal side and the x-axis?

• Pi over four

• Pi over six

• Pi over two

• Pi over three

Which quadrant has both x and y coordinates negative?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

What happens to the signs of coordinates in the third quadrant?

• X is negative, Y is positive

• X is positive, Y is negative

• Both are negative

• Both are positive

What is the sine of an angle if the y-coordinate is negative square root of 3 over 2?

• Negative 1/2

• Negative square root of 3 over 2

• 1/2

• Square root of 3 over 2

What is the reciprocal of cosine if the x-coordinate is negative one half?

• Square root of 3

• 2

• Negative square root of 3

• Negative 2

What is the secant of an angle if the cosine is negative one half?

• Square root of 3

• Negative square root of 3

• 2

• Negative 2

How do you simplify a fraction divided by another fraction?

• Subtract the fractions

• Divide by the reciprocal

• Multiply by the reciprocal

• Add the fractions

What is the result of dividing negative three over two by negative one-half?

• Negative 3

• 3

• Negative square root of 3

• Square root of 3

What is the cotangent of an angle if tangent is square root of 3?

• 1 over square root of 3

• 3

• Square root of 3

• 1