Pre-Calculus - Determine the Double Angle of Sine When Given a Triangle and Restrictions

The video tutorial explains how to evaluate tangent when a point is not on the unit circle by creating a triangle under specific constraints. It demonstrates using the Pythagorean theorem to find the hypotenuse and then calculates sine and cosine from the triangle's sides. The tutorial emphasizes understanding Pythagorean triples and their application in trigonometry.

Why can't we use the Y over X coordinate to evaluate tangent for the point 3/4 on the unit circle?

• Because 3/4 is not a point on the unit circle

• Because the unit circle only allows whole numbers

• Because tangent is not defined for 3/4

• Because 3/4 is a complex number

What is the constraint for drawing the triangle in this context?

• It must be between 0 and 2π

• It must be between π/2 and π

• It must be between 0 and π/2

• It must be between π and 2π

What is the definition of tangent in terms of a right triangle?

• Adjacent over opposite

• Opposite over adjacent

• Opposite over hypotenuse

• Adjacent over hypotenuse

What is the hypotenuse of a triangle with legs 3 and 4?

• 8

• 5

• 7

• 6

How do you calculate the sine of an angle in a right triangle?

• Adjacent over hypotenuse

• Adjacent over opposite

• Opposite over hypotenuse

• Opposite over adjacent