MHS 10/16

Trig Identities

100

Sin(θ)/Cos(θ)=

Tan(θ)

200

Csc(θ)=

1/Sin(θ)

300

Sin²(θ)+ Cos²(θ)=

1

400

Tan²(θ)+1=

Sec²(θ)

500

Cos(2θ)=

Cos²(θ)-Sin²(θ)

Unit Circle

100

Cos(π)

-1

200

What is the degree of 3π/2?

270

300

Sin (11π/6)

-1/2

400

Cos(3π/4)

-√2/2

500

What is the degree of 7π/4?

315

Integrals

100

Integral of 2x²

2/3x³+C

200

Integral of 16x³+2x

4x⁴+x²+C

300

Integral of e^-3x

-1/3e^-3x+C

400

Integral of 56Cos(8x-5)

7Sin(8x-5)+ C

500

Integral of (4x-2)/(x³-x)

2ln|x|+ ln|x-1|- 3ln|x+1|+C

Derivatives

100

Derivative of 6x²

12x

200

Derivative of Sec x

Sec x tan x

300

Derivative of 7x⁵+4x³-8x+3

35x⁴+12x²-8

400

Derivative of a^x

(lna) a^x

500

What is the limit definition of a derivative

f'(x) =   f(x+h)-f(x)/h

lim h --> 0

Geometry

100

What is the area of a circle with a diameter of 16?

64π

200

The length of a rectangle is 3 more inches than its width. The area of the rectangle is 40 in². What is the perimeter of the rectangle? 

26 inches

300

In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?

3

400

∆ABC is a right triangle. Side AB is the hypotenuse and it is 6 units long. BC is 3 units long. How long is AC? 

3√3

500

What is the sum of the measures of the interior angles of a hexagon?

720