Evaluate your six trig functions when given cotangent and a constraint on cosine

The video tutorial focuses on evaluating a trigonometric function, specifically cotangent, and its relationship with tangent. It explains how to construct triangles and apply constraints to determine the correct quadrant for evaluation. The tutorial guides through calculating the hypotenuse and other trigonometric values, emphasizing the importance of understanding the constraints and using trigonometric identities. The key takeaway is the process of creating a right triangle when the function is not on the unit circle and evaluating using trigonometric identities.

What is the main focus of the trigonometric function evaluation discussed in the video?

• Learning about angles

• Understanding the unit circle

• Evaluating a single trigonometric function

• Evaluating all six trigonometric functions

What is the reciprocal of the tangent function?

• Cotangent

• Secant

• Cosine

• Sine

Why is it necessary to draw a triangle when evaluating trigonometric functions not on the unit circle?

• To find the exact coordinates

• To simplify calculations

• To use right triangle trigonometry

• To visualize the angles

In which quadrants is the cosine value positive?

• 1st and 2nd

• 2nd and 3rd

• 3rd and 4th

• 1st and 4th

What is the hypotenuse of the triangle used in the evaluation?

• Square root of 9

• Square root of 12

• Square root of 10

• Square root of 11

What is the sine of theta in the evaluated triangle?

• 1 over square root of 10

• -1 over square root of 10

• -3 over square root of 10

• 3 over square root of 10

What is the cosecant of theta based on the given triangle?

• -1 over square root of 10

• -Square root of 10

• 1 over square root of 10

• Square root of 10