`sqrt((1+sintheta)/(1-sintheta))=?`

Prove that: sqrt(1-sintheta)/sqrt(1+sintheta) = sec theta - tan theta

If theta=240^@ is the following statement correct? 2sin\ theta/2=sqrt(1+sintheta)-sqrt(1-sintheta)

If 0 leq theta leq pi and sin(theta/2)=sqrt(1+sintheta)-sqrt(1-sintheta) ,then the possible value of tan theta , is -

If 0 leq theta leq pi and sin(theta/2)=sqrt(1+sintheta)-sqrt(1-sintheta) , then the possible value of tan theta is (a) 4/3 (b) 0 (c) -3/4 (d) -4/3

Statement-1: If 2sin""(theta)/(2)=sqrt(1+sintheta)+sqrt(1-sintheta,) then theta in((8n+1)(pi)/(2),(8n+3)(pi)/(2)) Statement-2: If""(pi)/(4)lethetale(3pi)/(4),then sin""(theta)/(2)gt0.

Statement-1: If 2sin""(theta)/(2)=sqrt(1+sintheta)+sqrt(1-sintheta,) then theta in((8pi+1)(pi)/(2),(8n+3)(pi)/(2)) Statement-2: If""(pi)/(4)lethetale(3pi)/(4),then sin""(theta)/(2)gt0.

If tantheta=(8)/(15) , the value of (sqrt(1-sintheta))/(sqrt(1+sintheta)) is :

Evaluate : (( 1 + sintheta ) ( 1 - sintheta )) / ( ( costheta ) ( - costheta ) )

(1)/(1-sintheta)+(1)/(1+sintheta) = ……………….

(1)/(1+sintheta)+(1)/(1-sintheta) is equal to __________.