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

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

Without using trigonometric table, evaluate the following: (cosec^2(90-theta)-tan^2theta)/(4(cos^2 48^@+cos^2 42^@))-(2tan^2 30^@ sec^2 52^@ sin^2 38^@)/(cosec^2 70^@-tan^2 20^@

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

Given that sin30^(@)=1//2 and cos 30^(@)=sqrt3//2 . Determine the values of sin 60^(@), sin 120^(@), sin 240^(@), sin 300^(@) , and sin (-30^(@)) .

Prove that: (i) cos55^(@)sin 35^(@)+sin 55^(@)cos 35^(@)=1 (ii) (tan 72^(@))/(cot 18^(@))-(cot 72^(@))/(tan18^(@))=0 (iii) sec70^(@)sin 20^(@)+cosec 70^(@)cos 20^(@)=2

Find the values of: (i) tan (-30^(@)) (ii) sin 120^(@) (iii) sin 135^(@) (iv) cos 150^(@) (v) sin 270^(@) (vi) cos 270^(@)

Find the values of : (i) tan (-30^(@)) (ii) sin 120^(@) (iii) sin 135^(@) (iv) cos 150^(@) (v) sin 270^(@) (vi) cos 270^(@)

If cos 120^(@)=(-1)/(2) find the values of sin 120^(@) and tan 120^(@) .

Find the value of (a) cos 120^(@) (b) sin 240^(@) (c) tan (-60^(@)) (d) cot 300^(@) (e) tan 330^(@) (f) cos (-60)^(@) (g) sin (-150)^(@) (h) cos ( -120)^(@)

(sin150^(@)-5cos300^(@)+7tan 225^(@))/(tan 135^(@)+3sin 210^(@))