Exact value of `cos 20^0+2sin^2\ \ 55^0-sqrt(2)sin65^0\ ` is- a.`1` b. `1/(sqrt(2))` c.`sqrt(2)` d. zero

sqrt(2)x^(2) +x + sqrt(2)=0

Prove that cos 18^(@)-sin 18^(@)=sqrt(2)sin 27^(@)

Find the principal value of sin^(-1)(1/sqrt2)

The values of cos^2 73^0+cos^2 47^0-sin^2 43^0+sin^2 107^0 is equal to: (a) 1 (b) 1/2 (c) (sqrt(3))/2 (d) sin^2 73^@+cos^4 73^@

If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is a. 0 b. 1/(sqrt(5)) c. 2/(sqrt(5)) d. (sqrt(3))/2

Find the principle value of sin^(-1)(1/(sqrt(2)))

The exact value of (96sin80^0sin65^0sin35^0)/(sin20^0+sin 50^0+sin 110^0) is equal to

Prove that, cos18^(@)-sin18^(@)=sqrt(2)sin27^(@)

Find the values of the followings : sin^(-1)(1/sqrt2)-3"sin"^(-1)sqrt3/2