How to evaluate the composition in terms of x

The video tutorial explores whether a point lies on the unit circle by analyzing triangle properties and quadrant constraints. It involves calculating the cosine and hypotenuse using variables, and concludes with rationalizing the denominator. Key concepts include understanding the unit circle, triangle properties, and the importance of quadrant analysis.

In which quadrants is the tangent function positive?

• First and Fourth

• Second and Third

• First and Second

• Third and Fourth

What is the purpose of introducing the variable R in the problem?

• To calculate the sine of the angle

• To determine the hypotenuse

• To find the value of X

• To evaluate the tangent function

How do you find the hypotenuse in terms of X?

• R = X^2 + 1

• R = sqrt(X^2 + 1)

• R = X + 1

• R = X^2 - 1

Why is the hypotenuse always positive in this context?

• Because it is in the first quadrant

• Because it is a tangent function

• Because it is a sine function

• Because it is a cosine function

What is the cosine of the triangle in terms of X?

• Adjacent over 1

• Adjacent over X^2

• Adjacent over X^2 + 1

• Adjacent over X