How to evaluate the half angle for tangent in radians

The video tutorial covers the use of half angle identities to solve for the tangent of 7π/12. The instructor explains the tangent formula and how to find the value of U. The process involves solving for tangent of 7π/6, considering the reference angle and quadrant. The tutorial also addresses simplifying complex fractions, providing techniques to handle them effectively.

What identity is suggested to solve for the tangent of 7π/12?

• Pythagorean identity

• Sum and difference identity

• Half angle identity

• Double angle identity

In which quadrant is the angle 7π/6 located, and what is the sign of sine and cosine in that quadrant?

• First quadrant, both positive

• Second quadrant, sine positive, cosine negative

• Third quadrant, both negative

• Fourth quadrant, sine negative, cosine positive

What is the reference angle for 7π/6?

• π/2

• π/6

• π/3

• π/4

What operation is performed to simplify the complex fraction in the tangent calculation?

• Divide by 2 on both numerator and denominator

• Subtract 1 from both numerator and denominator

• Multiply by 2 on both numerator and denominator

• Add 1 to both numerator and denominator

What is the final simplified result of the tangent calculation?

• 2 - sqrt(3)

• 2 + sqrt(3)

• -2 - sqrt(3)

• -2 + sqrt(3)