This is a free lesson from our course in Trigonometry
In this lesson you'll learn with the help of several examples, practice questions
with solution and video explanation that how to use trigonometric identities to simplify trigonometric expressions. A trigonometric identity is different from a trigonometric expression in that an
identity will have an equal (=) sign in it. To verify an identity means to make
sure that the equation is true by setting both sides equal to one another. There
is no set method that can be applied to verifying identities. (More text below video...)
Start with one side of the equation and see if you can change to other side
using algebra steps (more common in use).
You may start with an identity that is true and do the same thing to both sides
of it to get the identity you want to verify.
Change to sines and cosines, if you can, to recognize in the equation.
For Example: 1 / cot(t) = sin(t) / cos(t)
and you know 1/cot(t)= tan(t) ,so
tan(t) = sin(t) / cos(t)
also, tan(t) is the same as sint(t)/cos(t) and therefore can be rewritten as
sin(t) / cos(t) = sin(t) / cos(t)
Hence, identity is verified.
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