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. Question 3 Write each of the following as the sine or cosine of one angle, and then find the ict value Example: sin(108 )cos(18 ) - cos(108 )sin(18 ) Solution: This expression follows the pattern of the angle difference formula for sine, sin(A - B) - sin( A)cos(B) - cos(A)sin(B). with A - 108 and B - 18 . Question 3 Thus, You have learned that the average rate of change of a function f(x) on an interval [x, x + h] can be sin(108 )cos(18) - cos(108 )sin(18") - sin(108 -18) = sin(90) - found using the difference quotient Part A: cos(36 )cos(24) - sin(36 )sin(24" ) A(x + h) - f(2) Sine or cosine of a single angle Exact value Part A: The difference quotient for f(x) - sin(x) over the interval [2,2.01] is given by sin(2.01) - sin(2) In 0.01 Part B: cos(70 )cos(25) + sin(70 )sin(25) calculus, it is useful to rewrite this difference quotient in the equivalent form Sine or cosine of a single angle Exact value cos(2) ( sin(0.01) 2 + sin(2) (Cos(0.01) - 1 0.01 S 0.01 Part C: sin(70)cos(80) + cos(70 )sin(80) Use the angle sum identity for sine to show that these two expressions are equivalent. Show your work . Sine or cosine of a single angle Edit - Insert" Formats - B / U X X A - A - Exact value Question Help : Message instructor Calculator Table of Contents > Unit 2 : Right Triangle Definitions, Solving Equations, Inverse Sine & Cosine, Sine & RF2_10A_Practice Part B: Find a similar way of rewriting the difference quotient for f(x) - cos(x) over the same interval [2, 2.01]. Show your work. Answer RF2_10A_Practice Score: 1/7 1/3 answered Work: . Question 2 Edit " Insert" Formats" B / U X X AA - Use the angle sum identities to determine the exact value of the given expression. Part A: By getting a common denominator, one can show that + 3 = . Use this fact to determine an edxact value of cos ( 12) Answer: Part B: Use the fact that 3 + 4 = 12 to determine an exact value of sin( 12 Answer: Question Help: Message instructor Calculator Submit Question Photo