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without the use of the calculator?

ya

how 2 derivate it

taylor expansion can estimate it for you

i did not get what u want to say

sauravshakya u may try

who is taylor

5*18=90
sin(5*18)=sin90
Let x=18 then,
sin(5x)=sin90

i think u r wrog somewhere

U can proceed from here but this will be too long but it will give u exact value.

we dont have a formula for sin 5 thete

From sin(5x)=1
u need to find the value of sinx

i mean to say we dont have its expansion

sin(5x) = sin(2x + 3x) = sin2x * cos3x + cos2x * sin3x

hmmmmm
that wd be 22 long

5x= 90
2x+3x=90
3x=90-2x
sin 3x= cos 2x
now put formula of sin 3x and cos 2x in terms of sin x only.

hmmmmmm this wd b an easy one

Great!

but when we will solve the quadrtic equation then we will get two values of sin theta

which one is great

@gohangoku58 's one

hmmmmmmm

because that gives exact value not approximate

hmmmmm
but two values

which one to select

u plz try it once

well, sin 18 lies in first quadrant so take positive value

hmmmmm

good

i failed 2 use common sence

no not a cubic but a quadratic u try it

i tried it jjust now

sin 3x= ?

3sinx-4 sin cube x

3sinx-4 sin cube x<----cubic

no but sin 2 x is also there

*cos 2x

ya

1-2sin square x

then we can take sin in common

no u cant 1 is there

r u there on facebook

who ?

sorry for the personal Q

we both are there...

all of u

|dw:1353245978780:dw|

may i know ur id's

we can contact there also

saura i will tell u wait

what say saura ?

short form

one moment plzz

2 theta=90-3 theta

sin 2 theta = cos 3 theta.................sin (90-theta)=costheta