Show that the following statement is true by transforming the left side into the right side.
?

What will be an ideal response?

We begin by writing everything on the left side in terms of sin ? and cos ?.

?

?

Since we have succeeded in transforming the left side into the right side, we have shown that the statement  is an identity.


Mathematics

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The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = 12 sin t - cos tFind the body's acceleration at time t = ?/4 sec.

A. -   m/sec2
B.   m/sec2
C. -   m/sec2
D.   m/sec2

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Calculate the circulation of the field F around the closed curve C.F = (-x - y)i + (x + y)j , curve C is the counterclockwise path around the circle with radius 5 centered at (3, 10)

A. 50(1 + ?) B. 100? C. 50? D. 50(1 + ?) + 260

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Simplify.10log t

A. t B. 10t C. 10t D. 1

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Provide an appropriate response.A student claims: "Since 1 + cot2 ? = csc2 ?, I should be able to also say 1 + cot ? = csc ? if I take the square root of both sides." Comment on the student's statement.

What will be an ideal response?

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Mathematics