Learn how to evaluate the three trig functions given a trig equation and constraint

The video tutorial explains the concept of cotangent and how to create triangles with specific constraints. It discusses the importance of considering positive and negative values in the context of an X&Y axis. The tutorial also covers the secant function and its relation to cosine, identifying the quadrants where cosine is negative. The Pythagorean theorem is applied to determine triangle properties, and the simplification of trigonometric functions like sine, cosine, and tangent is demonstrated.

What is the significance of considering constraints when creating triangles with a given cotangent ratio?

• It simplifies the calculation of the hypotenuse.

• It helps in determining the size of the triangle.

• It allows for the creation of multiple triangles with different angles.

• It ensures the correct sign of the trigonometric ratios based on the context.

In which quadrants is the cosine of an angle negative?

• 1st and 4th

• 1st and 2nd

• 2nd and 3rd

• 3rd and 4th

How is the correct triangle chosen when the secant of Theta is less than zero?

• By selecting the triangle with the largest angle.

• By choosing the triangle in the 1st quadrant.

• By identifying the quadrants where cosine is negative.

• By using the triangle with the smallest hypotenuse.

What is the result of applying the Pythagorean theorem to the given triangle?

• The square root of 49

• The square root of 58

• The square root of 36

• The square root of 64

What is the relationship between tangent and cotangent in the context of the triangle discussed?

• Tangent is the square of cotangent.

• Tangent is the negative of cotangent.

• Tangent is equal to cotangent.

• Tangent is the reciprocal of cotangent.