How to use the half angle formula for tangent to evaluate for an angle

The video tutorial explains how to work with trigonometric functions, focusing on cosecant and its relationship with sine and cosine. It covers constructing triangles on a coordinate grid, using Pythagorean triples, and analyzing angles in different quadrants. The tutorial also demonstrates calculating the tangent of a half angle and simplifying trigonometric expressions using identities.

What is the initial step in solving the problem of finding the cosecant of an angle?

• Identify the exact point on the unit circle

• Calculate the sine of the angle

• Create a triangle on a coordinate grid

• Determine the tangent of the angle

In trigonometry, what does the cosecant of an angle represent?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over opposite

• Hypotenuse over adjacent

Which Pythagorean triple is used to identify the sides of the triangle in this problem?

• 5, 12, 13

• 7, 24, 25

• 3, 4, 5

• 8, 15, 17

What is the sign of the adjacent side in the third quadrant?

• Positive

• Undefined

• Negative

• Zero

What is the final result of the tangent calculation in the problem?

• Positive 3

• Negative 3

• Positive 9

• Negative 9