Use half-angle formulas to find the exact value for the following:
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What will be an ideal response?



Mathematics

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Obtain the Cartesian equation of the curve by eliminating the parameter.x = t - 3, y = t2 + 5

A. y = x2 - 14 B. y = x2 + 14 C. y = x2 + 6x + 14 D. y = x2 - 6x - 14

Mathematics

Evaluate the integral.4x dx

A. - x cot 4+ ln  + C
B.  x cot 4-  ln  + C
C. -  x cot 4+  ln  + C
D. - 4x cot 4+ 16 ln  + C

Mathematics

In ?ABC,AB = 3, BC = 4" and AC = 6". In ?PQR, PR = 6 cm, RQ = 8 cm, and PQ =12 cm. Then

(a) ?ABC ~ ?PQR. (b) ?ABC ~ ?QPR. (c) ?ABC ~?PRQ. (d) ?ABC ~ ?QRP. (e) Because one triangle is measured in inches and the other triangle is measured in centimeters, the corresponding sides are not proportional.

Mathematics

Solve the problem.True or false, given a system of two linear equations in two variables, if the graphs of the two equations coincide, then the system is independent.

A. True B. False

Mathematics