Evaluate the sum difference identities of two triangles

The video tutorial covers solving trigonometric problems using triangles and identities. It begins with an introduction to a problem involving sine and cotangent, followed by an explanation of using triangles to solve trigonometric problems. The tutorial then evaluates trigonometric expressions and solves for tangent of U-V using identities. Finally, it demonstrates simplifying complex fractions in trigonometric expressions.

What is the significance of recognizing the quadrant in which an angle lies when evaluating trigonometric functions?

• It only matters for angles greater than 90 degrees.

• It is not important for trigonometric evaluations.

• It helps in finding the exact value of the function.

• It helps in determining the sign of the trigonometric function.

Which theorem is used to find the missing side of a triangle when two sides are known?

• Tangent Rule

• Pythagorean Theorem

• Cosine Rule

• Sine Rule

In which quadrant is the cosine negative and sine positive?

• Fourth Quadrant

• Second Quadrant

• First Quadrant

• Third Quadrant

What is the formula for tangent of U - V?

• (tan U - tan V) / (1 - tan U tan V)

• (tan U + tan V) / (1 + tan U tan V)

• (tan U + tan V) / (1 - tan U tan V)

• (tan U - tan V) / (1 + tan U tan V)

Why are triangles used instead of the unit circle in this evaluation?

• The unit circle is only for angles in radians.

• Triangles provide a more accurate result.

• The unit circle is not applicable for these values.

• Triangles are easier to draw.

What is the common denominator used to simplify the fractions in the expression?

• 12

• 9

• 6

• 3

What is the result of multiplying every expression by the common denominator in the simplification process?

• It eliminates the fractions.

• It doubles the values.

• It squares the values.

• It has no effect.