Provide an appropriate response.Prove that tan t = tan c for c ? 0. You may assume that tan t = 0 .[Hint: let h = t - c and find tan(c + h) ]

What will be an ideal response?


Let h = t - c. Then
tan t =tan(c + h)
   Addition Identity
  Main Limit Theorem
  Main Limit Theorem
   = 
     = tan c

Mathematics

You might also like to view...

Solve the problem.A certain person burns 8.5 calories per minute while walking. How many calories will be burned if that person walks for 5 hours?

A. 425 calories B. 42.5 calories C. 2550 calories D. 25,500 calories

Mathematics

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.x2 - 12x

A. 144; x2 - 12x + 144 = (x - 12) 2 B. 36; x2 - 12x + 36 = (x - 6) 2 C. -144; x2 - 12x - 144 = (x - 12) 2 D. -36; x2 - 12x - 36 = (x - 6) 2

Mathematics

Multiply and write the product in exponent form.y ? y12

A. y13 B. y12 C. 2y13 D. 2y12

Mathematics

Solve the problem.An explosion causes debris to rise vertically with an initial velocity of 64 feet per second. The function  describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What is the instantaneous speed of the debris when it hits the ground?

A. 128 B. 64 C. -64 D. -128

Mathematics