`sin(A/2)=`
a) `+-sqrt((1-cos A)/(2))`
b) `+-sqrt((1-sin A)/(2))`
c) `+-sqrt((1-cos2 A)/(2))`
d) `+-sqrt((1-sin2 A)/(2))`

(sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |tan A| < 1 , and | A I

cos theta sqrt(1-sin^(2)theta)=

sin(A+B)=1/sqrt(2) cos(A-B)=sqrt3|2

cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)

The value of ("lim")_(xto1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(sin^(-1)x))) is (a) -1/(sqrt(2)) (b) 1/(sqrt(2)) (c) sqrt(2) (d) -sqrt(2)

1. sin^(-1)((1)/(sqrt(2))) 2. cos^(-1)((sqrt(3))/(2))

cos ^(2) 48^(@) - sin ^(2) 12 ^(@) = (sqrt5+1)/(8).

lim_(x to 0) (sin^(2) x)/(sqrt(2)-sqrt(1+cos x))= (A) sqrt(2) (B) 2 (C) 4 (D) 4sqrt(2)

The complete solution set of the equation sin^(-1) sqrt((1+x)/(2))-sqrt(2-x)=cot^(-1)(tan sqrt(2-x))-sin^(-1) sqrt((1-x)/(2)) is :

sin( 67 1/2)^(@) + cos( 67 1/2)^(@) is equal to A) 1/2sqrt(4+2sqrt(2)) , B) 1/2sqrt(4-2sqrt(2)) , C) 1/4(sqrt(4+2sqrt(2))) , D) 1/4(sqrt(4-2sqrt(2)))