` 2 tan ^ 2 45 ^@ + cos ^ 2 30 ^@ - sin ^ 2 60 ^@ = ? `

2tan ^ (2) 45 ^ (@) + cos ^ (2) 30 ^ (@) - sin ^ (2) 60 ^ (@)

2tan ^ (2) 45 ^ (@) - + cos ^ (2) 30 ^ (@) - sin ^ (2) 60 ^ (@) is

( 5 cos ^ 2 60^ @ + 4 sec ^ 2 30 ^@ -tan ^ 2 45 ^@ ) /( sin ^ 2 30^@ + cos ^ 2 30 ^@ )

Find the value of 2 tan 45^@ + cos 30^@ - sin 60^@ .

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

({(4) / (tan ^ (2) 60 ^ (@)) + (1) / (cos ^ (2) 30 ^ (@)) - 2sin ^ (2) 45 ^ (@)}) / ( (sin ^ (2) 60 ^ (@) + cos ^ (2) 45 ^ (@)))

((4) / (tan ^ (2) 60 ^ (@)) + (1) / (cos ^ (2) 30 ^ (@)) - 2sin ^ (2) 45 ^ (@)) / (sin ^ (2) 60 ^ (@) + cos ^ (2) 45 ^ (@))

((4) / (tan ^ (2) 60 ^ (@)) + (1) / (cos ^ (2) 30 ^ (@)) - 2sin ^ (2) 45 ^ (@)) / (sin ^ (2) 60 ^ (@) + cos ^ (2) 45 ^ (@))

The numerical value of ( cos^2 45^@ ) /( sin ^2 60 ^@) +( cos ^2 60^@ )/( sin ^2 45 ^@ ) -(tan ^2 30 ^@ )/( cot^2 45^@ ) -( sin^2 30 ^@ )/( cot^2 30^@) is