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

500

Solve the equation: 2sin² (x)-3sin(x)+1=0 for 0^o <x<360^o

x=30^o ,90^o, 150^o

sequence and series

200

Find the next number in the sequence: 2,6,18,54,___

162

300

Find the arithmetic sequence:

3,7,11,15...

39

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)

400

Convert the polar coordinate (4,^/2) to rectangular coordinates.

(0,4)

limits

400

Evaluate the limit: limit as X approaches 2 

x²-4/x-2

4

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

500

Find the derivative of f(x)=3x^2+2x-1

f'(x)=6x+2