Q. Determine x if `(xsin^2 30^@ cos^2 60^@)/(4cos^2 45^@)=(3sin^2 45^@+2cos^2 30^@)/(sin^2 90^@-4cos^2 45^@)`

Find the value of cos^2 30^@-2cos^2 60^@-4sin^2 45^@+tan45^@ .

The value of (sin^2 30^@+ cos^2 60^@+ sec 45^@.sin^2 45^@)/(sec60^@+ cosec 30^@) is : (sin^2 30^@+ cos^2 60^@+ sec 45^@.sin^2 45^@)/ (sec60^@+ cosec 30^@) का मान ज्ञात करें:

What is the value of 4(sin^4 30^@ + cos^4 60^@) -3(cos^2 45^@ - sin^2 90^@) ?

The value of (5cos^2 60^@+4sec^2 30^@-tan^2 45^@)/(tan^2 60^@- sin^2 30^@-cos^2 45^@) is: (5cos^2 60^@+4sec^2 30^@-tan^2 45^@)/(tan^2 60^@- sin^2 30^@-cos^2 45^@) का मान क्या होगा ?

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

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^@ )

Solve for x: xsin30^@cos^2 45^@=(cot^2 30^@sec60^@tan45^@)/(cosec^2 45^@cosec30^@)

Evaluate : tan^2 30^@ sin^2 30^@ + cos 60^@ sin^2 90^@tan^2 60^@-2 tan 45^@ cos^2 0^@ sin 90^@

Prove that cot^2 60^@+sin^2 45^@ +sin^2 30^@+cos^2 90^@=(13)/(12)