Precal/Trig

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Standard form of the equation of a circle

(x-h)^2 + (y-k)^2 = r^2

X-axis radians

0, pi, and 2pi

Simplify sq root 2/ sq root 10

1/ sq root 5

Simplify sq root 3/ sq root 24

1/2 sq root 2

Simply 1/sq root 24

1/2 sq root 6

Simplify 3/sq root 63

1/sq root 7

sec t =

1/x, x cannot equal 0

csc t =

1/y, y cannot equal 0

Quadrant 2 degrees

120*, 135*, 150*

Quadrant 3 degrees

210*, 225*, 240*

Quadrant 2 radians

2pi/3, 3pi/4, 5pi/6

Quadrant 1 degrees

30*, 45*, 60*

Quadrant 4 degrees

300*, 315*, 330*

Quadrant 4 radians

5pi/3, 7pi/4, 11pi/6

Simplify sq root 72/ 5

6sq root 2/5

Simplify sq root 98/ sq root 2

7

Quadrant 3 radians

7pi/6, 5pi/4, 4pi/3

Area of a sector of a circle

A=1/2(theta)r^2

An area of a circle is

A=pi•r^2

Formula for circumference of a circle

C = 2πr

Simplify 3/sq root 3

Can't already simplified

Simplify sq root 3/ sq root 10

Can't already simplified

Simplify 5/sq root 21

Can't, already simplified

Simply 1/sq root 2

Can't, already simplified

Y-axis radians

Pi/2 and 3pi/2

Quadrant 1 radians

Pi/6, pi/4, pi/3

To find the length of an arc

S=r(theta) Remember that this only valid if the angle, theta, is in radians

Pythagorean identities

Sin^2t + cos^2t = 1 1 + tan^2t = sec^2t 1 + cot^2t= csc^2t

Sin t is equal to

Y

Convert radians to degrees

multiply by 180/πradians

Convert from degrees to radians

multiply by πradians/180*

Reciprocal identities

sin t = 1/csc t cos t = 1/sec t tan t = 1/cot t csc t = 1/sin t sec t = 1/cos t cot t = 1/tan t

The quotient identities

tan t = sin t/cos t cot t = cos t/ sin t

cos t =

x

cot t =

x/y, y cannot equal 0

Standard form of the equation for a unit circle

x^2 + y^2=1

tan t =

y/x, x cannot equal 0


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