Evaluate the following:
i) `cos120^(@)sin390^(@)+cos330^(@)cos150^(@)`
ii) `sin^(2)(3pi)/(4)+cos^(2)pi/4+sec^(2)pi/3`

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2sin^(2)(3pi)/(4) + 2cos^(2)pi/4+2sec^(2)pi/3=10

cos510^(@)cos330^(@)+sin390^(@)cos120^(@)

2sin^2 (3pi)/4 +2cos^2 pi/4 +2sec^2 pi/3=10

Evaluate the following: (i) sin^(-1)(sin(pi/4)) (ii) cos^(-1)(cos(2pi)/3)) tan^(-1)(tan(pi/3))

sin (pi/2) = 2 sin(pi/4) cos (pi/4)

2sin^(2)quad (3 pi)/(4)+2cos^(2)(pi)/(4)+2sec^(2)(pi)/(3)=10

Evaluate the following: cos(2pi/3)cos(pi/4)-sin(2pi/3)sin(pi/4)

Prove that, cos510^(@)cos330^(@)+sin390^(@)cos120^(@)=-1 .

Evaluate the following: a) sin^(-1)(sin(pi/4)) b) cos^(-1)(cos(2pi/3)) c) tan^(-1)(tan(pi/3))

Prove that: 2sin^2(3pi/4)+2cos^2(pi/4)+2sec^2(pi/3)=10