Hindi, asked by Anonymous, 1 year ago

Find the value of x is sin(2x +10^0)=1

Answers

Answered by Sanjana111111
3
HOPE THIS WILL HELP U
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dm7: Mam you have told only about principal solution
dm7: There will be INFINITE values of x which can satisfy the equation
Sanjana111111: i know only this method
dm7: mam you are right but i am saying that you have given only two values of solution which will be principle solution
dm7: general solution should have been given
Answered by dm7
0
Anything raised to power 0 is 1
hence
sin( 2x + 1) = 1

1= sin pi/2

therefore
sin (2x + 1)=sin pi/2

so
2x+1 = pi/2
2x = pi/2 - 1
Take LCM

2x = (pi-2)/2
x= (pi-2)/4

in degrers
2x+1=90
2x=89
x=89/2 degrees

Remember these are only the principal solutions
that is these are solutions in defined range of 0 to 360 degrees or 1rotation

There are actually INFINITE solutions for X Which can be given by a general equation of sin



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