Pre-cal

trigonometry

100

Find the value of sin(30°) + cos(90°)

1/2 or 0.5

200

Find the value of: sin(30^o)+ cos(60^o)

1

300

Solve for x: tan(x)=1,  for 0^o <x<360^o

x=45^o , 225^o

400

A right triangle has a hypotenuse of 15 and an angle of 35⁰ . Find the length of the side opposite the angle. Round to the nearest tenth.

8.6

sequence and series

100

Find the next number in the sequence

2,4,6,8,......

10

200

Find the formula for the arithmetic sequence 

5,9,13,17,...

a_n=5+4(n-1)

300

Find the arithmetic sequence:

3,7,11,15...

39

400

Find the 15th term of the arithmetic sequence 

12,17,22,27,...

82

500

A geometric sequence has a first term of 6 and a common ratio of 3. What is the 8th term?

a₈=13122

polar,vector,parametric

100

Given:x=t², Y=2t+1

eliminate the parameter and write an equation in terms of x and y

y=2 square root x+1

200

find the magnitude of the vector {6,8}

10

300

Convert the polar coordinate (4,π/3) to rectangular form

(2,2 square root 3)

limits

100

lim as x approaches 2(x+3)

5

300

lim as x approaches 0, 1-cosx/x²

1/2

400

Evaluate the limit: limit as X approaches 2 

x²-4/x-2

4

500

lim as x approaches 0, sinx-x/x³

-1/6

derivative

100

What is a Derivative?

A Derivative is the rate of change of a function or the slope of the question of the tangent line at a point

200

f(x)=3x²-4x+7

6x-4

300

Find the derivative of 

f(x)=4x³-7x²+5x-9

f^'(x)=12x²-14x+5

400

Find the derivative of 

y=(3x²+1)(x-4)

y^'=9x²-24x+1