worksheet on trig id
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Trig idTRANSCRIPT
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Math 108 Section 6.1 Worksheet Summer 2013
1. The most fundamental trig identity is
a. Divide this equation by to derive another fundamental identity.
Identity:_________________________________
b. Divide the equation by to derive another fundamental identity.
Identity:_________________________________
2. Verify the identity . Hint: convert all trig functions to sine and
cosine, then multiply.
3. Verify the identity Hint: multiply the left side and
then use one of the trig identities above.
4. Verify that is NOT an identity. Hint: you only need to find one point where
equality does not hold.
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Math 108 Section 6.1 Worksheet Summer 2013
5. Verify the following identities.
a.
b.
c.
d.
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Math 108 Section 6.1 Worksheet Summer 2013
e.
Hint: Convert everything to sine and cosine, and then make
comment denominators.
f.
g.
Hint: make a common denominator.