2-3-87 trig identities
X
00:00
/
00:00
CC
On this problem, they want you to use your even and odd
identities along with the period concept.
So the first thing we're going to remember is that sine of
negative Theta is really the same thing as negative sine
Theta.
Couple ways to think about that.
If we thought about the unit circle and we thought about this
being angle Theta and this being angle negative Theta, we could
remember that sine in the first quadrant is positive and sine in
the 4th quadrant is negative.
We could also think about looking at a regular sine graph.
And if we look at our sine graph this way, let's call out here
somewhere Theta so that negative Theta is going the opposite
direction.
We can see that the Y value for Theta versus negative Theta are
opposites.
So that's one concept we need.
We also need to remember the cosine of Theta plus a full
circle is really just cosine of Theta and then also we might
need tangent of Theta plus Pi is just really tangent of Theta.
So those are all going to be important identities that we may
use in this problem.
So the very first thing, the sine of -39° is going to be
negative sine of 39°, cosine of 399 is really going to be cosine
of 399 -, 33160.
So that's 39 plus tangent 219 -, 180, which is going to be 39.
So now we remember that sine over cosine is really just
tangent.
So negative tangent 39° plus tangent 39° is really just zero.