For the following equation, graph y = f1(x) and y = f2(x) on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture.sin  cos  = 

What will be an ideal response?


The statement is an identity. The student's answer should include a proof.

Mathematics

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Use identities to find the exact value of the trigonometric function.Find sin ?, given that cos ? =  and  < ? < 2?.

A. - 
B. -
C. - 
D. - 

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Assume that the sequence converges and find its limit.a1 = 3, an + 1 =  

A. 4 B. 8 C. 3 D. 2

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Use the graph of f to determine the intervals where f is increasing and where f is decreasing.

A. increasing: [2, ?); decreasing: (-?, 2] B. increasing: (-?, 1] ? [2, ?); decreasing: [1, 2] C. increasing: [0, 3]; decreasing: (-?, 0] ? [3, ?) D. increasing: [0, ?); decreasing: (-?, 0]

Mathematics

Write the expression in exponential notation.2 ? 2 ? 2 ? 2

A. 22 B. 42 C. 24 D. 8

Mathematics