Poly `-beta` - hydroxybutyrate - co`-beta -` hydroxyvalerate (PHBV ) is a copolymer of ________.

Poly - beta - hydroxybutyrate - co - beta hydroxy valerate is an example of

Poly Beta-hydroxybutyrate-co-Beta-hydroxy valerate (PHBV) is obtained by the copolymerisation of

If (cos prop )/( sin prop + cos beta) + ( cos beta)/( sin beta - cos prop) = ( x)/( sin prop - cos beta) + (cos beta)/( sin beta+ cos prop) then 'x' is equal to :

IF alpha , beta are the roots of the equation ax ^2 + bx +c=0 , then the value of the determinant |(1, cos ( beta - alpha ), cos alpha ),( cos (alpha- beta ),1,cos beta ),( cos alpha , cos beta , 1)|

If sin beta + cos beta=(5)/(4) , then find the value of sin beta * cos beta .

cos (alpha-beta) quad cos (alpha-beta), cos alpha1, cos betacos alpha, cos beta, 1] |

Prove that |cos alpha-cos beta|<=| alpha-beta|

cos (alpha + beta + gamma ) + cos (alpha - beta - gamma) + cos ( beta - gamma - alpha ) + cos ( gamma - alpha - beta )=