Question

is there any shortcut to find the values of trignometric functions?

Answer 1

@sirm3d

Answer 2

you mean, given a special angle, give the trigonometric value at that angle?

Answer 3

yup

Answer 4

do you want my mnemonic in radians or in degrees?

Answer 5

both

Answer 6

let's begin with the basic. on the unit circle, \[\huge(x,y)=(\cos \theta, \sin \theta)\]
x comes before y in the dictionary, and cosine before sine. so there is the basic

Answer 7

association, first is to first

Answer 8

ok

Answer 9

at 90 degrees, the terminal side points up to the direction of +y, so y gets 1, and x gets 0. cos 90 = 0, sin 90 = 1.

Answer 10

ok

Answer 11

cos 180 degrees is what then?

Answer 12

1

Answer 13

no. at 180 degrees, the term. side points to what direction?

Answer 14

-ve

Answer 15

-x?

Answer 16

x is to sine or cosine?

Answer 17

isn't x cos?

Answer 18

m not getting you :( :(

Answer 19

right. so cos 180 =

Answer 20

-1

Answer 21

right, because cos is to x, so cos 180 = -1 since it points to the -ve x-axis.

Answer 22

yes

Answer 23

what abt other angles?

Answer 24

is this new to you?

Answer 25

no it isn't new to me

Answer 26

what if i have to find the value of cos210 ?

Answer 27

do you remember the sides of the 30-60-90 triangle?

Answer 28

sides as in?

Answer 29

u mean value of sin 3o,60,90?