Evaluate the half angle of tangent for 105 degrees

The video tutorial explains how to evaluate the tangent of 105 degrees using the half angle formula. It covers the selection of the appropriate formula, calculation of the reference angle, and determination of the quadrant. The tutorial also includes a step-by-step simplification of complex fractions and emphasizes the importance of using correct trigonometric identities.

What is the recommended approach if the first half angle formula for tangent does not work?

• Use the second half angle formula

• Use a calculator

• Skip the problem

• Try a different angle

If Theta divided by two equals 105 degrees, what is the value of Theta?

• 90 degrees

• 315 degrees

• 105 degrees

• 210 degrees

In which quadrant does the angle 210 degrees lie?

• First quadrant

• Fourth quadrant

• Third quadrant

• Second quadrant

What is the sign of sine and cosine in the third quadrant?

• Both positive

• Sine positive, cosine negative

• Sine negative, cosine positive

• Both negative

What is the result of multiplying by the reciprocal in the calculation process?

• It doubles the value

• It changes the sign

• It has no effect

• It simplifies the fraction