Qatar University Foundation programm Mathematies Department Math P100-Fall 2017
ID: 3019408 • Letter: Q
Question
Qatar University Foundation programm Mathematies Department Math P100-Fall 2017 Question(1): There is a good reason in calculus that makes mathematicians prefer to use radian rather than degrees. Discuss the reason behind that preference. Question/2): If (x) is an increasing one-to-one function, then its inverse is also increasing. Explain why this is always true. Question(3): When a line crosses x-axis, it makes an angle . what is the relation between the slope of that line and anglet ? Explain your answer. Question 4):_Abdullah stands at a certain distance from a building. From his position, the angle of elevation to the top of a building is 60°. From 40 meters further back, the angle of elevation is 45. How trigonometric ratios can help Abdullah to find the height of the building? Draw a figure to clarify your answer. Question5): Explain the difference between conterminal angle and reference angle. Under which conditions both conterminal angle and a reference angle would be equal?Explanation / Answer
2)
Inverse of a function is the mirror image of that function with respect to y=x.
So when the miro image of an increasing function is taken in y=x, it is also an increasing function only.