Trigonometry
Simplify sin2X + cos2X
1
Describe the roots of a quadratic equation if discriminant = 0
Real and Equal
Is y=x3 an odd or even function ?
Odd
A wheel makes 1/3 of a full revolution. In terms of pi, how many radians does it rotate through ?
2pi/3
Which positive integer is neither prime nor composite ?
1
Which quadrants have positive values for cosine ?
1 and 4
For 2x2-5x+k=0 , find k if roots are equal.
25/8
what is the range of f(x)=x2 ?
0 to Infinity (Greater than or equal to zero)
Convert 210 degrees to radians in terms of pi.
7pi/6
what is the degree of the polynomial 4x3-7x+2
3
If SinA = 12/13 (acute), what is cosA ?
5/13
If roots of a quadratic eq. are 4 and -3, form the equation.
x2-x-12=0
If g(x)=x+1 and f(x)=2x, find f(g(2)).
6
The circumference of a circle is 44. Find radius. (Take pi to be 22/7)
7
What is the term for a pair of angles that add up to 180 degrees ?
Supplementary angles
Express sin2A-cos2A in terms of single power of cos only
-cos(2A)
If the roots of a quadratic eq. are P and Q, find eq. with p+1 and q+1.
x2-(p+q+2)x+(pq+p+q+1)=0
If f(x)= square root(x-2), find its domain.
x is greater than or equal to 2
The radius of a wheel is 21 cm and it rotates 120 degrees. Find arc length in terms of pi.
14 pi cm
What do we call a matrix with equal rows and columns ?
Square Matrix
Solve 2cos2x-1=0 for where x is greater than 0 degree and less 180 degree.
45 degree, 135 degree
One root of a quadratic equation is 4. The sum of the roots is 9. Form the equation.
x2-9x+20
For f(x)=x2, restrict the domain so that the inverse exists.
Restrict x to be greater than or equal to zero.
If the arc length of a sector is 15 and radius is 9, find the angle in radians.
5/3 radians
What do we call a sequence where each term is obtained by multiplying the previous one by a fixed number.
Geometric Progression / Geometric Sequence