BQ # 2 Unit R

How do the trig graphs relate to unit
Circle?

A. Why Is the period for sine and cosine 2pi, whereas the period for tangent and cotangent is pi.

For a sine graph we know that sine is.postive.in the first to.quadrants and negative in quadtants 3and 4. Cosine is positive then negative, its a pattern that goes on forever. 2pi is how long it takes for each pattern to repeat itself. We are unwrapping the unit circle into a straight line.




A tangent and cotangent

BQ #3

How do the graphs of sine and cosine relate to each of the others?

Tangent

In a tangent graph,we relate to the identity of tan equals sin /cos. Cos equals zero and this will tells us where it will lie on the graph.

BQ 5

Why do sin and.cosine nit have asymptotes, but the other four trig graphs do?

Asymptotes are undefined. Sjne and cosine dont have demoninators that equal zero. Sine has the ratio y/r and cosine has a ratio of x/r. In the unit circle r equals 1. Therefore we will always get a value. The other four trig graphs have a possibility of getting value a of zero.

BQ #4 unit R

Why is the period for sine and cosine 2 pi,whereas the period for tangent and cotangent is pi?


The trig graph is a unit circle that is unwrapped. For sine ans cosine, 2pi is how long it takes for the graph to repeat itself.



For tangent and cotangent pi is how long it takes to repeat itself

reflection#1 unit Q Verifying trg identities.

To verify a trig function means to prove the left side if it is correct while not touching the right side. We must prove it is correct because we use our identities to prove them right.

2.I had to memorize the identities because this is what will help us throughout the unit. Another tip.is to.look for identities that we can replace with and have the same . Like sin for the whole equation

3.I start by looking at the left side . I dont touch the right side. We look if we can substitute a identity or reciprocal. We get a a common denominator or gcf. We do all we need to get our answer on the left. This includes several key factors that will help us achieve our proven equation.