Pre-Calculus - Find the Double Angle of Tangent When Given a Triangle with Restrictions

The video tutorial covers solving a trigonometry problem involving angles not on the unit circle. The teacher explains how to determine the quadrant of an angle, construct a triangle, and calculate trigonometric functions like sine and cosine using specific formulas. The process includes identifying the correct quadrant, using the Pythagorean triple, and simplifying expressions to find the final result.

Which quadrant is the angle located in if it is between π and 3π/2?

• First Quadrant

• Fourth Quadrant

• Second Quadrant

• Third Quadrant

What is the relationship between cosecant and the sides of a triangle?

• Adjacent over Hypotenuse

• Hypotenuse over Adjacent

• Opposite over Hypotenuse

• Hypotenuse over Opposite

When calculating the sine of a half angle, what determines whether the result is positive or negative?

• The size of the angle

• The quadrant of the angle

• The length of the hypotenuse

• The value of cosecant

What is the formula for the cosine of an angle in terms of adjacent and hypotenuse?

• Hypotenuse over Adjacent

• Hypotenuse over Opposite

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

What is the final simplified form of the expression for the cosine of the angle?

• -3 sqrt 10 / 10

• 3 sqrt 10 / 10

• -sqrt 9 / 10

• sqrt 9 / 10