Evaluate the half angle of tangent from a triangle

The video tutorial explains how to handle trigonometric fractions, starting with the expression 1 minus cosine divided by sine. It demonstrates simplifying fractions by multiplying by the reciprocal and rationalizing the denominator. The tutorial emphasizes the importance of understanding these mathematical techniques for solving trigonometric problems.

What is the initial expression that needs to be simplified in the video?

• The sine divided by 1 minus the cosine

• 1 minus the sine divided by the cosine

• The cosine divided by 1 minus the sine

• 1 minus the cosine divided by the sine

What is the result of subtracting 1/3 from 1 in the simplification process?

• 2/3

• 3/2

• 1/2

• 1/3

What mathematical operation is used to eliminate the fraction in the denominator?

• Adding the reciprocal

• Multiplying by the reciprocal

• Subtracting the reciprocal

• Dividing by the reciprocal

What is the simplified form of the expression after rationalizing the denominator?

• -1/sqrt 2

• -sqrt 2/2

• 1/sqrt 2

• sqrt 2/2

What is the purpose of multiplying by sqrt 2 on the top and bottom of the fraction?

• To rationalize the denominator

• To add a constant

• To change the sign of the fraction

• To simplify the numerator