Sum and Difference identities of tangent using right triangles

The video tutorial covers the use of triangles and quadrants in trigonometry, focusing on the relationships between secant, cosine, and sine. It explains how to determine the correct quadrant for given trigonometric values and highlights common student mistakes. The tutorial also demonstrates calculating the tangent of angles using trigonometric identities and simplifying complex fractions.

In which quadrants is the secant function negative?

• 3rd and 4th

• 1st and 2nd

• 2nd and 3rd

• 1st and 4th

What is a common mistake students make when dealing with angles in the second quadrant?

• Forgetting to make the answer negative

• Using the wrong Pythagorean triple

• Using the wrong reference angle

• Forgetting to use the unit circle

If cosine is positive and sine is greater than zero, in which quadrant is the angle located?

• 1st quadrant

• 2nd quadrant

• 3rd quadrant

• 4th quadrant

Which Pythagorean triple is used to find the sides of a triangle when cosine is 3/5?

• 8-15-17

• 7-24-25

• 5-12-13

• 3-4-5

What is the common denominator used to simplify the complex fraction in the tangent calculation?

• 44

• 11

• 3

• 33