Math 115 = Trigonometry Proof Take Home TEST Name Marks /100 1. [10] Using a unit circle argument, derive the 3 Pythagorean Identities. 1 2. (a) [25] Derive the difference identity for cosine function using a unit circle argument 2 3 (e) [10] Using the sum identities for sine and cosine functions, derive the sum identities for the tangent function. 4 5 4.[10] Using the difference formulas for sine and cosine functions, derive the difference formulas for the tangent function. . 5.[5] Derive the half angle identitiy for both the sine and cosine function. 6
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