Establish `cot 53^@ sin 37^@ sec 53^@ sin 53^@ cot 37^@ = cos 37^@`

The value of cos^2 37^@-sin^2 53^@ is

Find the value of sin 330^@ + tan225^@-4 sin^2 120^@ + 2 cos^2 135^@ + sec^2 180^@

Prove that:a. sec30^@ tan60^@+sin45^@cosec45^@+cos30^@+cos30^@cot60^@=7/2

The value of sec70^@sin20^@+cos20^@cosec70^@ is

Evaluate : |(sin30^@, cos30^@),(-sin60^@, cos60^@)| .

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

Without using trigonometric tables, evaIuate the following: sec37^@/(cosec53^@)+2cot15^@cot25^@cot45^@cot75^@cot65^@-3(sin^2 18^@+sin^2 72^@)

The value of sec^2 10^@-cot^2 80^@ is

Verify:d. (cos30^@-sin30^@)/(cos30^@+sin30^@)=sec60^@-tan60^@

Evaluate: (cot 30)^2-2(sin 30)^2-3/4(cosec 45)^2