Trigonometric Functions of -7π/6

The video tutorial explains how to determine the exact trigonometric function values for the angle -7π/6 using reference triangles. It covers sketching the angle in standard position, forming the reference triangle, and calculating the six trigonometric function values: sine, cosine, secant, cosecant, tangent, and cotangent. The tutorial also discusses rationalizing denominators for these values and emphasizes the importance of understanding radians.

What is the significance of the angle being negative in the context of trigonometric functions?

• It means the angle is in radians.

• It indicates a clockwise rotation.

• It indicates a counterclockwise rotation.

• It means the angle is in degrees.

How is the angle -7π/6 sketched in standard position?

• By rotating clockwise from the y-axis.

• By rotating clockwise from the x-axis.

• By rotating counterclockwise from the x-axis.

• By rotating counterclockwise from the y-axis.

What type of triangle is formed when sketching -7π/6?

• A 45-45-90 triangle

• A 30-60-90 triangle

• A 60-60-60 triangle

• A 90-90-90 triangle

In which quadrant is the terminal side of the angle -7π/6 located?

• Quadrant II

• Quadrant III

• Quadrant IV

• Quadrant I

What is the sine of -7π/6?

• -√3/2

• √3/2

• 1/2

• -1/2

How do you find the secant of -7π/6?

• By taking the reciprocal of cotangent

• By taking the reciprocal of tangent

• By taking the reciprocal of cosine

• By taking the reciprocal of sine

What is the tangent of -7π/6?

• 1/√3

• -√3

• -1/√3

• √3

How is the cotangent of -7π/6 calculated?

• By taking the reciprocal of secant

• By taking the reciprocal of sine

• By taking the reciprocal of cosine

• By taking the reciprocal of tangent

What is the cosecant of -7π/6?

• -1/2

• 2

• 1/2

• -2

Why is it important to rationalize the denominator in trigonometric functions?

• To make the expression more complex

• To convert degrees to radians

• To simplify the expression

• To convert radians to degrees