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

You might also like to view...

Prove the identity.tan 2x = 

What will be an ideal response?

Mathematics

Use logarithmic differentiation to find the derivative of y.y = (x3 + 1)3(x - 1)2x4

A.  +  + 
B. (x3 + 1)3(x - 1)2x4(3ln(x3 + 1) + 2ln(x - 1) + 4ln x)
C. (x3 + 1)3(x - 1)2x4
D. (x3 + 1)3(x - 1)2x4

Mathematics

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the objective function.f = 3x + 11y subject to the constraints 

A. 198 B. 0 C. 108 D. 323

Mathematics

Solve the problem.Use the figure to find the width W of the rectangle from its length and area A. Determine W when 

A. 8x - 2; 46 yd B. 2x + 8; 20 yd C. 8x + 2; 50 yd D. 8x - 6; 42 yd

Mathematics