Evaluate that : `cos[cos^(-1) (sqrt(3)/2) + pi/6]`

The value of cos[cos^(-1) (-sqrt3/2)+pi/6)]

Evaluate the following: cos^(-1)(cos((7pi)/6))

Prove that : cos^(-1) x + cos^(-1) ((x)/(2) + (sqrt( 3-3x^2) )/( 2) ) = (pi)/ (3)

For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3))) sec^(-1)(sqrt(2))+2cos e c^(-1)(-sqrt(2)) sin^(-1)[cos{2cos e c^(-1)(-2)}] cos e c^(-1)(2tan(11pi)/6)

For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3))) sec^(-1)(sqrt(2))+2cos e c^(-1)(-sqrt(2)) sin^(-1)[cos{2cos e c^(-1)(-2)}] cos e c^(-1)(2tan(11pi)/6)

Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((sqrt(10)-1)/(3sqrt2))=cos^(-1) (2/3)

Find the value of 4cos[cos^(-1)((1)/(4)(sqrt(6)-sqrt(2)))-cos^(-1)((1)/(4)(sqrt(6)+sqrt(2)))] .

Find the value of the following: cos^(-1)(cos((13pi)/6))

(i) Evaluate : sec (cos^(-1).(1)/(2)) (ii) slove the equations sin^(-1) x + sin^(-1) y = (2pi)/(3) and cos^(-1) x - cos ^(-1) y = (pi)/(3)

The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a. cos(-(7pi)/5) b. sin(pi/(10)) c. cos((2pi)/5)\ d. -cos((3pi)/5)