You could use your calculator and do this one step by step. Set your calculator to radian
mode. First perform the inside function:Then perform the outside function on the result:Far quicker and simpler would be to realize that if you take the sin of the arctan of the tan of
the arcsin, you’ll end up back where you started.The answer to this question is just the decimal approximation of the fraction .46 . B
First convert 0.000005 into a fraction:
You’re looking for the smallest integer value of x that will make less than .In other words, you’re looking for the smallest integer x that will make (x + 1)! greater than
200,000. Use your calculator and try a few possibilities. 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 = 40,320.
Not big enough. But multiply that by 9 and you’re up to 362,880. So 9! > 200,000, x + 1 = 9 ,
and therefore x = 8.47 . E
To find the area of the triangle, you want the base and the height.
The base is the length OB, which is simply the x-coordinate of point B: . The height is
the y-coordinate of point P, which is equal to 6 − x^2 . The triangle is isosceles, so the altitude