Which of the following number(s) is/are rational? (a)`sin15^0` (b) `cos15^0` (c)`sin15^0cos15^0` (d) `sin15^0cos75^0`

Evaluate: |(cos15^0,sin15^0),(sin75^0,cos75^0)|

Find the values of the following: sin75^0 (ii) cos75^0 (iii) sin15^0 (iv) cos15^0

The roots of the equation 4x^2-2sqrt(5)x+1=0,a r e (a) sin36^0,sin18^0 (b) sin18^0,cos36^0 (c) sin36^0,cos18^0 (d) cos18^0,cos36^0

Prove that (cos10^0+sin10^0)/(cos10^0-sin 10^0)=tan55^0

Evaluate: sin 15^(@)cos 15^(@)-cos 75^(@)sin75^(@)

Convert each of the following products into the sum or difference of sines and cosines: sin75^0cos15^0

Evaluate : 2 sin 15 ^(@) cos 15 ^(@)

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))

Find the value of x in each of the following: (i) tan3x=sin45^0cos45^0+sin30^0 , (ii) cosx=cos60^0cos30^0+sin60^0sin30^0 , (iii) sin2x=sin60^0cos30^0-cos60^0sin30^0dot

Which of the following cannot be the probability of an event : (A) 2/3 (B) –1.5 (C) 15% (D) 0.7