`cosαsin(β−γ)+cosβsin(γ−α)+cosγsin(α−β)=`

The number of ordered pairs (α,β), where α,β∈(−π,π) satisfying cos (α−β)=1 and cos(α+β)=1/e is

If cos(α−β)=1 and cos(α+β)= 1/e , where α, β∈[−π,π]. Then number of ordered pairs of (α,β) is

If cos(α+β)=0 , then sin(α−β) , can be reduced to

If cosα+cosβ= 3/2 ​ and sinα+sinβ= 1/2 ​ and θ is the arithmetic mean of α and β, then sin2θ+cos2θ is equal to

If cosα+cosβ= 3/2 ​ and sinα+sinβ= 1/2 ​ and θ is the arithmetic mean of α and β, then sin2θ+cos2θ is equal to

Prove that sinα+sin(α+ 3 2π ​ )+sin(α+ 3 4π ​ )=0

Which is not a lipid ? (a) Lecithin (b) β- keratin (c) Sterol (d) wax

If sin(120° – α) = sin(120° – β) and 0 < α, β < π then find the relation between α and β.

cosα+cosβ= 3/2 ​ and sinα+sinβ= 1/2 ​ and θ is the arithmetic mean of α and β, then sin2θ+cos2θ is equal to Yes No

What is γ ? Obtain the value of γ for (i) monatomic (ii) diatomic and (iii) triatomic gas.