How to evaluate for cos when given the value of sine with a right triangle

The video tutorial explains the importance of constraints in trigonometry, focusing on how they determine the position of triangles on the unit circle. It discusses where tangent is positive and how to graph sine with given constraints. The tutorial also covers calculating the cosine of Theta using the Pythagorean theorem, emphasizing the significance of understanding positive and negative values in different quadrants.

Why is the constraint important in trigonometry?

• It is used to find the perimeter of the triangle.

• It helps in calculating the area of the triangle.

• It tells you where the triangle is located.

• It determines the size of the triangle.

In which quadrants is the tangent function positive?

• First and second quadrants

• Second and third quadrants

• Third and fourth quadrants

• First and third quadrants

What does the constraint tell us about the possible triangles when graphing sine?

• The triangle must be in the second or fourth quadrant.

• The triangle can be in any quadrant.

• The triangle must be in the first or fourth quadrant.

• The triangle must be in the first or third quadrant.

How do you find the cosine of an angle using the Pythagorean theorem?

• By using the square root of the difference between the square of the hypotenuse and the square of the opposite side

• By using the square root of the sum of the squares of the opposite and adjacent sides

• By subtracting the square of the opposite side from the hypotenuse

• By adding the squares of the opposite and adjacent sides

Why is the cosine value positive in the first quadrant?

• Because the adjacent side is always positive

• Because the hypotenuse is always positive

• Because the constraint specifies it must be positive

• Because both the adjacent and hypotenuse are positive