`sin 690^@ cos 930^@ + tan(-765^@) cosec (-1170^@)`

sin 300^@ cosec 1050^@ - tan (-120^@)

If x sin 60^(@) cos^(2)30^(@) =(tan^(2)45^(@) sec60^(@))/("cosec"60^(@)) , then find the value of x.

Find the values of sin 30^(@) + cos 30 ^(@) + tan 30 ^(@) + cot 30^(@) + sec 30 ^(@) + cosec 30^(@) .

When (2 sin 60^(@) cos 30^(@) cosec 45^(@))/(tan 45^(@) cos 60^(@) sin 45^(@)) is simplified , we get

Evaluate : (sin 35^(@) cos 55^(@) + cos 35^(@) sin 55^(@))/ (cosec^(2) 10^(@) - tan^(2) 80^(@))

Find the value of (i) sin (765^(@)) (ii) cosec (-1110^(@)) (iii) cot (-600^(@))

Evaluate the following (sin 30^(@) +tan 45^(@) -cosec 60^(@) )/( cot 45^(@)+cos 60^(@) -sec 30^(@))

Find the values of the following trigonometric ratios : cos225^@ , sin 690^@ , tan(-390^@) , sec 855^@

Prove that : (i) (sin 70^@)/(cos 20^@)+(cosec 20^@)/(sec 70^@)-2cos 70^@cosec 20^@=0 (ii) (cos 80^@)/(sin 10^@)+cos 59^@cosec 31^@=2 (iii) (2 sin 68^@)/(cos 22^@)-(2 cot 15^@)/(5 tan 75^@)-(3tan 45^@tan 20^@tan 40^@tan 50^@tan 70^@)/(5)=1 (iv) (sin 18^@)/(cos 72^@)+sqrt(3) (tan 10^@ tan 30^@tan 40^@tan 50^@tan 80^@)=2 (v) (7cos 55^@)/(3 sin 35^@)-(4(cos 70^@cosec 20^@))/(3(tan 5^@tan 25^@tan 45^@tan 65^@tan 856^@))=1