Maths

Question 1

Cartesian Equation for a Parabola Open up or down.

Answer 1

+-x^2 = 4ay

Question 2

Parametric Equation for a parabola open up or down

Answer 2

x = 2at
y=+-at^2

Question 3

Cartesian Equation for a Parabola Open right or left.

Answer 3

+-y^2 = 4ax

Question 4

Parametric Equation for a parabola open right or left

Answer 4

x=+-at^2
y=2at

Question 5

In an ellipse with equation y= x^2/a^2 + y^2/b^2 what is the radius in x and y axis?

Answer 5

a units in x axis
b units in y axis

Question 6

Sin(A+B)

Answer 6

SinAcosB+CosASinB

Question 7

Sin(A-B)

Answer 7

SinACosB-cosAsinB

Question 8

cos(A+B)

Answer 8

CosACosB-sinAsinB

Question 9

cos(A-B)

Answer 9

CosACosB+SinASinB

Question 10

tan(A+B)

Answer 10

(tanA+tanB)/(1-tanAtanB)

Question 11

tan(A-B)

Answer 11

(tanA-tanB)/(1+tanAtanB)

Question 12

sin2θ

Answer 12

2sinθcosθ

Question 13

cos2θ

Answer 13

cos^2θ-sin^2θ

Question 14

tan2θ

Answer 14

(2tanθ)/(1-tan^2θ)

Question 15

cosAcosB

Answer 15

1/2[cos(A+B) + cos(A-B)]

Question 16

sinAsinB

Answer 16

1/2[cos(A-B)-cos(A+B)]

Question 17

sinAcosB

Answer 17

1/2[sin(A+B) +sin(A-B)]

Question 18

t-formula:
If t = tan(θ/2)
sinθ =

Answer 18

2t/(1+t^2)

Question 19

t-formula:
If t = tan(θ/2)
cosθ =

Answer 19

(1-t^2)/(1+t^2)

Question 20

t-formula:
If t = tan(θ/2)
tanθ =

Answer 20

2t/(1-t^2)