Provide an appropriate response.Graph f(x) = cos-1  and g(x) = tan-1  . Explain why the graph looks like it does.

What will be an ideal response?


When x is positive these graphs are identical because they are both giving the same angle.    When x is negative both functions are still referring to the same angle. However, inverse cosine gives values between ?/2 and ? while inverse tangent gives values between -?/2 and 0.

Mathematics

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Identify the conic that the polar equation represents. Also, give the position of the directrix.r = 

A. hyperbola, directrix perpendicular to the polar axis 3 right of the pole B. ellipse, directrix perpendicular to the polar axis 3 left of the pole C. hyperbola, directrix perpendicular to the polar axis 3 left of the pole D. ellipse, directrix perpendicular to the polar axis 3 right of the pole

Mathematics

Perform the indicated conversion within American units of length.27 feet to yards

A. 2 yd
B. 324 yd
C. 9 yd
D. 81 yd

Mathematics

Evaluate for the given values.x + y - z; x = 5.4, y = 8, z = 0.79

A. -3.39 B. 12.71 C. 12.61 D. 14.19

Mathematics

Solve the system using determinants.2x + 3y - z = 23x - 3y + 5z = 215x + y + z = 49

A. (8, 4, 5) B. (8, -4, -5) C. (9, 2, 5) D. (4, 5, 4)

Mathematics