Evaluate the composition of inverse trig function with x

The video tutorial explains how to find the sine inverse of an angle and represent it using trigonometric identities. It covers the use of the Pythagorean theorem to find the tangent of an angle and demonstrates how to simplify the tangent expression using radicals. The tutorial provides a step-by-step approach to solving trigonometric problems, focusing on expressing answers in terms of variables typically used in multiple-choice questions.

What is the sine function defined as in terms of a right triangle?

• Hypotenuse over opposite

• Adjacent over opposite

• Opposite over hypotenuse

• Adjacent over hypotenuse

What theorem is used to find the adjacent side when determining the tangent of angle alpha?

• Inverse Trigonometric Functions

• Pythagorean Theorem

• Law of Cosines

• Law of Sines

If a^2 + X = 9, what is the expression for 'a' in terms of X?

• a = sqrt(9 + X)

• a = sqrt(9 - X)

• a = 9 - sqrt(X)

• a = X - 9

How can the tangent expression be simplified?

• By subtracting the radicals

• By dividing by the hypotenuse

• By multiplying by the reciprocal

• By adding the radicals

What is the simplified form of the tangent expression?

• 9 - X / sqrt(X)

• sqrt(X) / sqrt(9 - X)

• X / sqrt(9 - X)

• sqrt(X) / (9 - X)