Steps to composition of trig functions with x

The video tutorial explores whether a point is on the unit circle by setting up a trigonometric representation. It involves analyzing the quadrant of a triangle, using the Pythagorean theorem, and simplifying the resulting expression. The key trick is understanding the value's position on the unit circle.

What is the first step in determining if a point is on the unit circle?

• Determine the value of X

• Find the hypotenuse

• Calculate the value of Y

• Use the cosine function

In which quadrants can the triangle be if the sine inverse is positive?

• 1st and 2nd quadrants

• 3rd and 4th quadrants

• 2nd and 3rd quadrants

• 1st and 4th quadrants

What theorem is used to find the missing side of a triangle in this context?

• Remainder Theorem

• Binomial Theorem

• Pythagorean Theorem

• Fundamental Theorem of Calculus

How is the expression 2 / sqrt(X^2 - 4) simplified?

• By adding 4 to the numerator

• By rationalizing the denominator

• By subtracting 2 from the numerator

• By multiplying by X

What is the key trick to determine if a value is on the unit circle?

• Evaluate the expression in terms of X

• Use the cosine function

• Use the sine function

• Check if the value is positive