Trigonometry

Question 1

How do you convert degrees to radians?

Answer 1

(Pi)/180

Question 2

How do you convert radians to degrees?

Answer 2

180/(pi)

Question 3

180 degrees =?

Answer 3

Pi

Question 4

1 rad =?

Answer 4

180/(pi)

Question 5

1 degree =?

Answer 5

(Pi)/180

Question 6

How do you find coterminal angles?

Answer 6

1. ) find an angle between desired values.

2. ) either add or subtract. (Finding negative coterminals)

Question 7

How do you find length of an arc?

Answer 7

S=theta(radius)

Question 8

How do you find the central angle of theta?

Answer 8

Theta= s/r

Question 9

How do you find area of a sector?

Answer 9

A=1/2r^2theta

Question 10

How do you find points moving from linear speed to circular speed?

Answer 10

Angular speed= w= theta/time

Linear speed= v=s/t

Question 11

Sin theta =?

Answer 11

Opposite/hypotenuse

Question 12

Cos theta=

Answer 12

Adjacent/hypotenuse

Question 13

Tan theta =

Answer 13

Opposite/adjacent

Question 14

Sin 30=?

Answer 14

1/2

Question 15

Cos 30=?

Answer 15

Sq. rt. 3 over 2

Question 16

Tan 30 =?

Answer 16

Sq. rt. 3 over 3

Question 17

Sin 45 =?

Answer 17

Sq rt 2/2 (likewise for cos)

Question 18

Tan 45=

Answer 18

1

Question 19

Sin 60=?

Answer 19

Sq rt 3 over 2

Question 20

Cos 60=

Answer 20

1/2

Question 21

Tan 60=?

Answer 21

Sq rt 3

Question 22

Sin theta=

Answer 22

y/r

Question 23

Cos theta=

Answer 23

x/r

Question 24

Tab theta=

Answer 24

x/y

Question 25

In quadrant 1:

Answer 25

All functions are positive

Question 26

In quadrant 2:

Answer 26

Sin and csc are positive, the rest are negative

Question 27

In quadrant 3:

Answer 27

Tan and cot are positive, the rest are negative

Question 28

In quadrant 4,

Answer 28

Cos and sec are positive, the rest are negative

Question 29

How do you find the reference angle?

Answer 29

Subtract the necessary degree (180, 360, etc) and subtract or add that value

Question 30

How do you evaluate trigonometric functions for any angle?

Answer 30

Find the reference angle theta associated with the angle theta, determine the sign (quadrant)

Question 31

What are the reciprocal and Pythagorean identities?

Answer 31

``` Csc= 1/sin Sec= 1/cos Cot= 1/tan Tan= sin/cos Cot= cos/sin ```

Question 32

How do you find the area of a triangle?

Answer 32

1/2absin(theta)