Trigonometry Question no. 1 The minimum value of 2sin 2 θ + 3cos 2 θ is looks_one 3 looks_two 2 looks_3 0 looks_4 1 Answer Option looks_two 2 Solution Solution : 2sin 2 θ + 3cos 2 θ = 2sin 2 θ + 2cos 2 θ + cos 2 θ 2(sin 2 θ + cos 2 θ) + cos 2 θ 2 + cos 2 θ -1 ≤ cosθ ≤ 1 0 ≤ cos 2 θ ≤ 1 2 ≤ 2 + cos 2 θ ≤ 3 Question no. 2 The simplest value of sin 2 x + 2tan 2 x–2sec 2 x + cos 2 x is looks_one -1 looks_two 1 looks_3 0 looks_4 2 Answer Option looks_one -1 Solution Solution : sin 2 x + 2tan 2 x–2sec 2 x + cos 2 x sin 2 x + cos 2 x + 2 (tan 2 x - sec 2 x ) = 1 + 2 (-1) = 1 - 2 = -1 Question no. 3 If cos 4 θ– sin 4 θ = 2/3 , then the value of 2cos 2 θ–1 is looks_one 0 looks_two 1 looks_3 2/3 looks_4 3/2 Answer option looks_3 2/3 Solution Solution : Question no. 4 The value of tan4°. tan43°. tan47°. tan86° is looks_one ...