Evaluate the composition of inverse trig function in terms of x

The video tutorial explores solving a tangent problem using trigonometric concepts. It begins with an introduction to the problem, discussing the unit circle and the unknown value of X. The tutorial then explains how to construct a triangle in the first quadrant, ensuring all values are positive. The Pythagorean theorem is applied to solve for the missing side, B, in terms of X. The video also addresses domain restrictions and concludes with writing the tangent equation using the cosine inverse and Pythagorean theorem.

In which quadrant is the triangle formed when all values are positive?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

What theorem is used to solve for the missing side of the triangle?

• Pythagorean Theorem

• Sine Rule

• Tangent Rule

• Cosine Rule

What is the missing side of the triangle labeled as?

• A

• B

• C

• D

Why is there a domain restriction when solving for the tangent?

• Because of negative values

• Due to the tangent function

• Due to the square root in the equation

• Because of the cosine inverse

What mathematical function is used to create the triangle?

• Tangent

• Secant

• Sine

• Cosine