Cosine and Pythagorean Theorem Concepts

The video tutorial explains how to find the cosine of angle T using a point on its terminal side. It involves setting up a right triangle with the given point, using the Pythagorean theorem to find the hypotenuse, and calculating the cosine as the ratio of the horizontal side to the hypotenuse. The process includes rationalizing the denominator to simplify the result.

What is the task given in the problem regarding angle T?

• Find the tangent of angle T

• Find the sine of angle T

• Find the cosine of angle T

• Find the secant of angle T

What are the coordinates of the point on the terminal side of angle T?

• (-5, 1/2)

• (-1/5, -12)

• (5, -1/2)

• (1/5, 12)

What is the horizontal side length of the triangle formed?

• 1/5

• 12

• -5

• 5

What is the vertical side length of the triangle formed?

• 1/2

• 5

• 12

• -5

Which theorem is used to find the hypotenuse of the triangle?

• Sine rule

• Pythagorean theorem

• Tangent rule

• Cosine rule

What is the formula for the Pythagorean theorem?

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a + b = c^2

• a^2 + b^2 = c

How is the cosine of angle T calculated?

• Vertical side divided by hypotenuse

• Horizontal side divided by hypotenuse

• Hypotenuse divided by horizontal side

• Hypotenuse divided by vertical side

What is the initial fraction for cosine T before simplification?

• 2 / radical 29

• -2 / radical 29

• -5 / radical 29

• 5 / radical 29

What is the simplified form of the cosine of angle T?

• 2 radical 29 over 29

• -2 radical 29 over 29

• 5 radical 29 over 29

• -5 radical 29 over 29

What operation is performed to simplify the fraction for cosine T?

• Multiplication by reciprocal

• Addition of fractions

• Subtraction of fractions

• Division by reciprocal