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# Class Note for MATH 1330 at UH

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This 5 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 19 views.

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Date Created: 02/06/15

Math 1 3 30 Section 61 Sum Difference and Reduction Identities Sum and Difference Formulas for Sine and Cosine l sins I sins cosr coss sint 2 sins I sins cost coss sint 3 coss I coss cost sins sint 4 coss I coss cost sins sint Reduction Formulas also known as Cofunction Identities 1 cos 6 sin6 2 sin 6 0056 The identities above can also be written using degree measure as follows 1 cos90quot 6 sin6 2 sin90quot a cos6 Additional Cofunction Identities 1 tan 6 cot6 2 cot 6 tan6 meg e J 1 9 2 Sum and Difference Formulas for Tangent tans tanr 1 tans tanr tans tanr 1 tans tanr 1 tans I 2 tans I Example 1 Simplify the following expression cos7z x Example 2 Simplify the following expression 7239 7239 Sll l x S11 1 x l 3 l 3 Example 3 Given that tanx 3 evaluate tan4 x Example 4 Simplify the following expression cosl 00 cos200 sinl 00 sin200 Example 5 Find the exact value of the following expression sinl 5quot Example 6 Write the following fraction as the sum of two special angles 71 12 Example 7 Write the following fraction as the sum of two special angles 257239 12 Example 8 Find the exact value of the following expression 57 tan l 2 37 4 3 Example 9 Suppose that s11106 and 511103 j where 0 lt a lt Z and 7 lt 3 lt 2 Find cosoc 8 3 Example 10 Suppose that cosa g and tan 2 where lt a lt 27 and Z lt lt 7r Find sina B Example 11 Prove the following identity Sll l0 tana tan cosacos Example 12 Prove the following identity cosa cosa cos2 sin2 05 Example 13 Simplify the following expression cot x cscx

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