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Reciprocal Identities - Evaluating Secant and Cosecant Functions
This trigonometry video tutorial explains how to use the reciprocal identities to evaluate trigonometric functions such as secant and cosecant. This video contains plenty of practice example problems.
Trigonometry - Free Formula Sheet: https://www.video-tutor.net/formula-sheets.html
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Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
The Unit Circle:
https://www.youtube.com/watch?v=57VrEiEPD1I
How To Remember The Unit Circle Fast:
https://www.youtube.com/watch?v=gdJq1QunN-o
Reference Angles:
https://www.youtube.com/watch?v=E-xFXpVo14o
The Six Trigonometric Functions:
https://www.youtube.com/watch?v=WvoFgL4P_rw
How To Solve Right Triangles:
https://www.youtube.com/watch?v=i3bjEOA5_zc
_____________________________
Quotient Identities:
https://www.youtube.com/watch?v=7PVKbyLFY5U
Even and Odd Trigonometric Identities:
https://www.youtube.com/watch?v=5p8hokJ3Cqo
Pythagorean Identities:
https://www.youtube.com/watch?v=TpADRvW8zm8
The Pythagorean Theorem:
https://www.youtube.com/watch?v=pbf4lcJhIfI
Trig Functions - Periodic Properties:
https://www.youtube.com/watch?v=8Z60_yXX4xA
________________________________
The Exact Value of Trig Functions:
https://www.youtube.com/watch?v=bTdjcvm6pPo
Special Right Triangles - 30 60 90:
https://www.youtube.com/watch?v=p70UBGCHZrQ
Special Patterns - Pythagorean Theorem:
https://www.youtube.com/watch?v=MeBcJPdjeI4
Cofunction Identities:
https://www.youtube.com/watch?v=35fxto48HZY
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
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Video Transcript
now there are some fundamental
trigonometric identities that you need
to
know what we're going to talk about
first is the reciprocal
identity now when you think of the word
reciprocal what do you think that
means for example what is the reciprocal
of seven the reciprocal of s is 1/
7 so now how does this relate to
trick so what is the reciprocal of
s the reciprocal of sin Theta is
cosecant s is 1 / cose and cose is 1/
s now this identity here is the one that
you're going to use more often if you
have sign for the most part you won't
need to change it to cosecant but if you
have cosecant a lot of times you will
change it back into sign
the reciprocal identity of secant Theta
is 1 / cosine that's another one that
you need to know and if I was you
hopefully you have a notebook you want
to write down these formulas because you
will use them a lot throughout your
Trigon um your trick course I lost the
word
there now
coent is one divid
tangent and
tangent is also 1 / C
tangent this one is more commonly
used and cosine if secant is 1 over
cosine cosine is 1 over secant now
you're not going to use that often but
the ones that are highlighted in
boxes secant cosecant and cotangent
those are the ones that I would commit
to memory you should know those three so
those are the reciprocal identities that
you need to be familiar with
with so let's say if we wish to
calculate secant of Pi / 3 how can we do
so how can we use reciprocal identities
to figure this out well secant we know
it's 1 cosine so we got to find the
value of cosine Pi
3 and use the unit
circle so pi over 3 is equal to
60° and at an angle of 60°
