Question

hey solve for x: sin90x=x^2-2x+2?

Answer 1

@ganeshie8

Answer 2

Remember?:

\[\sin 90 = 1\]

Therefore x is:

\[1 \times x = x^{2} - 2x + 2\]

which is equal to:

\[x = x ^{2} -2x + 2\]

@aryandecoolest : you question's answered

Answer 3

no no how can you do that 90x itself is an angle.

Answer 4

sin90x is like
\[\sin90\times x\]
so u get what im trying to say?

Answer 5

nopes @Mokeira it's sin(90x)

Answer 6

exactly it is
\[(\sin90)x\]

Answer 7

ooooooooh. I see what you mean

Answer 8

no no, don't separate 90 and x.

Answer 9

Yeah... I got what you are saying..How do you solve it?

Answer 10

i am confused..you got any idea? @Mokeira

Answer 11

The thing is if i can get RHS factorized in proper way i can solve by properties sinx=sin(theta)

Answer 12

Have you come across something like that?

Answer 13

naah, can you explain from where it comes?

Answer 14

It is a cos sin triangle

Answer 15

I would use that to solve the question

Answer 16

ok....continue...tell me the final answer.

Answer 17

actually by hit and trial method i can get answer as 1 like substituting x=1 and then LHS=RHS.

Answer 18

i have seen using the Pythagoras theory will not work so forget my triangles

Answer 19

i dont know how to solve

Answer 20

well no problem, thanks for your time......proving solves the problem :) answer=1

Answer 21

i think the sin90x is same as (sin)(90)(X) so you can group as you wish like sin90(x)...then sin90=1 so Sin90x is same as (x)1

Answer 22

x^2 -2x +2 = (x-1)^2+1
Thus, x^2-2x+2 >=1

we also know, -1<=sin(90x)<=1

so, if sin(90x)=x^2-2x+2 has any solution then it must be sin(90x)=x^2-2x+2=1

now, sin(90x)=1
90x = 90 + 360n , where n is any integer
or, x = 1 + 4n

also, x^2-2x+2=1
=>x=1
Thus, x=1 is the only solution