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

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

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

Prove that (cos100sin10^0)/(cos10^0-s in 10^0)=tan55^0

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

Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sinthetasinthetacostheta| |cos15^0sin15^0sin75^0cos75^0| (iv) |a+i b c+i d-c+i d a-i b|

Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sinthetasinthetacostheta| |cos15^0sin15^0sin75^0cos75^0| (iv) |a+i b c+i d-c+i d a-i b|

Value of Sin15^(@).cos15^(@) is:

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