WebCorrect option is C) Given tanθ+tan2θ+tanθtan2θ=1 We know tan(θ+2)= 1−tanθtanαtanθ→tan2 then of tan(θ+α)=1 then we will have tanθ+tanα+tanθtanα=1 for θ=θ and α=2θ and tan(θ+α)=tan(θ+2θ)=1 we have tanθ=1= 1−tanθtan2θtanθ+tan2θ let ⇒ Which given the required expression ∴tan3θ=1 we know tanA=1 when A= 4π n∈I or nπ+ 4π … WebIf tan^2 theta = 1 - e^2 , then prove that sec theta + tan^3 theta cosec theta = (2 - e^2)^3/2 Question If tan 2θ=1−e 2, then prove that secθ+tan 3θcosecθ=(2−e 2) 23 Medium Solution Verified by Toppr →tanθ= 1−e 2 →secθ+tan 3θ cosecθ → cos 3θcos 2θ+sin 2θ →sec 3θ →(secθ) 3 →(1+tan 2θ)3 →(1+1−e 2) 3/2 →(2−e 2) 3/2 Was this answer helpful? 0 0
If tan2θ=2tanφ+1, then cos2θ+sin2φ equals - BYJU
WebFeb 23, 2024 · (1 + 1/tan^2 theta)( 1 + 1/cot^2 theta) = 1/sin^2 theta - sin^4 theta Get the answers you need, now! riyavig8 riyavig8 23.02.2024 Math Primary School answered • … WebSimplify: (1+tan 2θ)(1−sinθ)(1+sinθ). Medium Solution Verified by Toppr Correct option is A) (1+tan 2θ)(1−sinθ)(1+sinθ) =(sec 2θ)(1−sin 2θ) =(sec 2θ)(cos 2θ) =(sec 2θ)( sec 2θ1) =1 … greenfoot portable
How do you simplify the expression 1+tan^2theta?
WebFeb 21, 2024 · Prove that tan2 theta/tan 2 theta-1 + cosec 2 theta/sec 2 theta - cosec 2 theta =1/sin 2 theta - cos2 theta See answers Advertisement mysticd Answer: Step-by-step … WebIf tan θ + 1 tan θ = 2, then show that tan 2 θ + 1 tan 2 θ = 2 Advertisement Remove all ads Solution tan θ + 1 tan θ = 2 Squaring on both sides, we get ( tan θ + 1 tan θ) 2 = 2 2 ⇒ tan 2 θ + 1 tan 2 θ + 2 × tan θ × 1 tan θ = 4 ... (using (a + b) 2 = a 2 + 2ab + b 2) ⇒ tan 2 θ + 1 tan 2 θ + 2 = 4 ⇒ tan 2 θ + 1 tan 2 θ = 4 − 2 = 2 WebAdım adım çözümleri içeren ücretsiz matematik çözücümüzü kullanarak matematik problemlerinizi çözün. Matematik çözücümüz temel matematik, cebir öncesi, cebir, trigonometri, kalkülüs konularını ve daha fazlasını destekler. flushing medication out system