Establish the identity.cos2x - sin2x = 1 - 2 sin2x

What will be an ideal response?


cos2x - sin2x = cos2x + (sin2x - sin2x) - sin2x = (cos2x + sin2x) - sin2x - sin2x = 1 - 2 sin2x.

Mathematics

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Find the product of the given complex number and its conjugate.6

A. 6
B. 6
C. 6
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Translate to a proportion and solve.  105 is what percent of 100?

A. 5% B. 10.5% C. 105% D. 1.05%

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Do the operation and express the answer in a + bi form. ? ?

A. 28 - 5i B. - 28 + 6 i C. - 5 + 6 i D. 5 - 6 i E. 28 + 6 i

Mathematics

Find the domain and the range for the function.

A. Domain: [-2, 8], Range: [-8, 8] B. Domain: {-8, -4, -1, 1, 4, 8}, Range: {-2, 1, 8} C. Domain: [-8, 8], Range: [-2, 8] D. Domain: {-2, 1, 8}, Range: {-8, -4, -1, 1, 4, 8}

Mathematics