If `(xcos e c^2 30^0sec^2 45^0)/(8cos^2 45^0sin^2 60^0)=tan^2 60^0-tan^2 30^0,` than `x=` (a)`1` (b) -1 (c) 2 (d) 0

The value of tan6^0tan42^0tan66^0tan78^0 is (a)1 (b) 1/2 (c) 1/4 (d) 1/8

Evaluate : 4(sin^4 30^0+cos^4 60^0)-2/3(sin^2 60^0-cos^2 45^0)+1/2tan^2 60^0

9sec^2A-9tan^2A is equal to (a) 1 (b) 9 (c) 8 (d) 0

If tan^2 45^@-cos^2 30^@=xsin45^@ \ cos45^@ , then x is (a) 2 (b) -2 (c) -1/2 (d) 1/2

If xsin45^0cos^2 60^0=(tan^2 60^0cos e c\ 30^0)/(s e c 45^0cot^2 30^0),\ t h e n\ x= 2 b. 4 c. 8 d. 16

Without using trigonometric tables, evaluate each of the following: (cos^2 20^0+cos^2 70^0)/(sec^2 50^0-cot^2 40^0)+2cosec^2 58^0-2cot58^0tan32^0- 4tan13^0tan37^0tan45^0tan53^0tan77^0

Prove that: (cos30^0+sin60^0)/(1+cos60^0+sin30^0)=(sqrt(3))/2

Prove that (2cos2A+1)/(2cos2A-1)=tan(60^0+A)tan(60^0-A)dot

Prove that (2cos2A+1)/(2cos2A-1)=tan(60^0+A)tan(60^0-A)dot

Evaluate each of the following: (a) cos(40^0-theta)-sin(50^0+theta)+(cos^2 40^0+cos^2 50^0)/(sin^2 40^0+sin^2 50^0) (b) (cos70^0)/(sin20^0)+(cos55^0cos e c35^0)/(tan5^0tan25^0tan45^0tan65^0tan85^0) (c) 2((cos58^0)/(sin32^0))-sqrt(3)((cos38^0cos e c52^0)/(tan15^0tan60^0t a n75^0))