" (i) "sin30^(@)+cos60^(@).[sqrt(3),(2)/(sqrt(3)),1,(1)/(2)]

" (4) "sin cos^(-1)(-(sqrt(3))/(2))

((cos30^(@)+sin60^(@))/(1+cos60^(@)+sin30^(@)))=(sqrt(3))/(2)

Prove that: (cos30^(@)+sin60^(0))/(1+cos60^(@)+sin30^(@))=(sqrt(3))/(2)

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

Let A=[[cos theta,-sin theta],[sin theta,cos theta]] Find the value of A^(-50) at theta=(pi)/2 (A) [[-(sqrt(3))/(2),-(1)/(2)],[-(1)/(2),(sqrt(3))/(2)]] (B) [[(sqrt(3))/(2),(1)/(2)],[(-1)/(2),(sqrt(3))/(2)]] (C) [[-(sqrt(3))/(2),(1)/(2)],[(1)/(2),(sqrt(3))/(2)]] (D) [[(1)/(2),(sqrt(3))/(2)],[(sqrt(3))/(2),(-1)/(2)]]

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

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

For the principal values,evaluate each of the following: sin^(-1)(-(1)/(2))+2cos^(-1)(-(sqrt(3))/(2))( ii) sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

sin ^(-1) (sqrt(3))/(2) + sin ^(-1) sqrt(2/3)=

sin(cos^(-1)(-sqrt3/2))=?