Worksheet on Trig Id

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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 p oint where equality does not hold.

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Trig id

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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.