Half angle of tangent given an angle in radians

The video tutorial explains the tangent formula, focusing on the preference for using 1 minus cosine of Theta divided by sine of Theta. It demonstrates how to calculate Theta by multiplying by two and evaluates the expression using trigonometric identities, simplifying the result by multiplying by two to eliminate the denominator.

What is the teacher's preferred form of the tangent half-angle formula?

• Cosine of Theta divided by 1 plus sine of Theta

• 1 minus cosine of Theta divided by sine of Theta

• Sine of Theta divided by 1 minus cosine of Theta

• 1 plus cosine of Theta divided by sine of Theta

What is the value of Theta when data divided by two is π/12?

• π/8

• π/6

• π/4

• π/3

What is the cosine of π/6?

• 1/2

• sqrt 3 / 2

• sqrt 2 / 2

• 3/2

How is the expression 1 minus cosine of π/6 divided by sine of π/6 simplified?

• 2 + sqrt 3

• sqrt 3 + 2

• 2 - sqrt 3

• sqrt 3 - 2

What is the sine of π/6?

• 1/2

• sqrt 3 / 2

• 3/2

• sqrt 2 / 2