How to create a triangle to evaluate the inverse trig function with x

The video tutorial explains the concept of sine inverse and how to find an angle using a triangle. It demonstrates the application of the Pythagorean theorem to express a side of the triangle in terms of another variable. The tutorial then covers how to calculate the cosine of an angle using the triangle's sides and discusses simplification techniques for expressions. The instructor emphasizes the importance of creating a triangle for solving problems not on the unit circle.

What does the sine inverse function help you find in a triangle?

• The length of the adjacent side

• The area of the triangle

• The measure of an angle

• The length of the hypotenuse

Which theorem is used to express a side of a triangle in terms of X?

• Law of Sines

• Law of Cosines

• Pythagorean Theorem

• Triangle Inequality Theorem

If X^2 = a^2 + 2^2, what is the expression for a?

• a = X^2 - 4

• a = sqrt(X^2 - 4)

• a = X^2 + 4

• a = sqrt(X^2 + 4)

What is the cosine of an angle in a right triangle?

• Adjacent over opposite

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over opposite

Why can't you separate the square root in the expression by subtraction?

• Because subtraction is not allowed in square roots

• Because it results in a complex number

• Because square roots cannot be separated by addition or subtraction

• Because it simplifies to zero