If x+iy=(1)/(1+ cos theta+ isin theta), ...

If `x+iy=(1)/(1+ cos theta+ isin theta)`, show that `4x^(2)-1=0`

COMPLEX NUMBERS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (C)|29 Videos
COMPLEX NUMBERS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (D)|13 Videos
COMPLEX NUMBERS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (A)|11 Videos
CIRCLE
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos
DE MOIVRE'S THEOREM
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|6 Videos

Similar Questions

Explore conceptually related problems

If x +iy = (3)/(2 + cos theta + isin theta) , show that x^(2) + y^(2) = 4x - 3

If x + iy = (1)/((1 + cos theta + isin theta)) then sin^(-1) x =

1+ cos 2 theta + cos 4 theta + cos 6 theta =

If (sin theta)/(1 - cos theta) + (sin theta)/(1 + cos theta) = 4(0^@ < theta < 90^@), then find the value of theta .

If (1 + cos theta + isin theta) (1 + cos 2 theta + isin 2theta) = x + iy then y =

If (1 + cos theta - isin theta) ( 1+ cos 2 theta + isin 2 theta) = x +iy then x^(2) + y^(2) =

If x=sqrt((1- cos theta )/(1+ cos theta )), " then " (2 x)/(1-x^(2))=

If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1- cos theta + sin theta )/(1+ sin theta )

If x =a ( theta + sin theta), y =a (1 - cos thea) then (d ^(2) y)/(dx ^(2)) at theta = (pi)/(4) is

If x = cos theta (1 + cos theta ), y = sin theta (1 + cos theta ) show that ((dy)/(dx)) _(theta = ( pi )/(2)) =1.