Let f = cos2x, g = sin2x. Which of the following lie in the space spanned by f and g?Question 7Select one: 𝑁𝑒𝑖𝑡ℎ𝑒𝑟 𝐴 𝑛𝑜𝑟 𝐵 𝐵𝑜𝑡ℎ 𝐴 𝑎𝑛𝑑 𝐵3 + 𝑥2  𝑆𝑖𝑛𝑥

Let f = cos2x, g = sin2x. Which of the following lie in the space spanned by f and g?Question 7Select one: 𝑁𝑒𝑖𝑡ℎ𝑒𝑟 𝐴 𝑛𝑜𝑟 𝐵 𝐵𝑜𝑡ℎ 𝐴 𝑎𝑛𝑑 𝐵3 + 𝑥2  𝑆𝑖𝑛𝑥

Let f = cos2x, g = sin2x. Which of the following lie in the space spanned by f and g

Let 𝐴 and 𝐵 be sets. Using set builder notation, show that:a) 𝐴 ∩ ∅ = ∅.b) 𝐴 ∪ 𝐴 = 𝑈.c) 𝐴 ∩ (𝐵 − 𝐴) = ∅

Q1. Let 𝐴 = {0,1,2,3,4,5,6,7} suppose 𝑅 𝑎𝑛𝑑 𝑇 are two relations on 𝐴 such that 𝑅 = {(𝑥, 𝑦): 𝑥 + 2𝑦 ≥ 4}, 𝑇 = {(𝑥, 𝑦): 2𝑥 + 3𝑦 ∈ 𝐴} Write 𝑅, 𝑇, 𝑎𝑛𝑑 𝑅°𝑇

If  tan (A+B)=p,  tan (A−B)=q,tan (𝐴+𝐵)=𝑝,  tan (𝐴−𝐵)=𝑞, then the value of tan2A in terms of p and q is