WebJun 1, 2024 · tan(2θ) = 2 tan θ 1 − tan2θ In this formula, we need the tangent, which we were given as tan θ = − 3 4 . Substitute this value into the equation, and simplify. tan(2θ) = 2( − 3 4) 1 − ( − 3 4)2 = − 3 2 1 − 9 16 = − 3 2(16 7) = − 24 7 Exercise 9.3.1 Given sin α = 5 8 ,with θ in quadrant I, find cos(2α) . Answer WebOct 7, 2016 · How do you prove tan(3θ) = 3 tan θ − tan3 θ 1 − 3 tan2 θ? Trigonometry Trigonometric Identities and Equations Proving Identities 1 Answer Bdub Oct 7, 2016 see below Explanation: tan(3θ) = 3tanθ − tan3θ 1 −3tan2θ Left Side: = tan(3θ) = tan(2θ + θ) ->Use the formulas tan(A +B) = tanA+ tanB 1 −tanAtanB and tan2A = 2tanA 1 −tan2A
How do you solve 3tan^2theta=1? Socratic
Web7 years ago. The easiest way is to see that cos 2φ = cos²φ - sin²φ = 2 cos²φ - 1 or 1 - 2sin²φ by the cosine double angle formula and the Pythagorean identity. Now substitute 2φ = θ into those last two equations and solve for sin θ/2 and cos θ/2. Webthat tan 3θ 1+tan 2θ cot 3θ 1+cot 2θ=secθcscθ−2sinθcosθ Solution Verified by Toppr Was this answer helpful? 0 0 Similar questions Write the correct answer for the following … how will a d affect my gpa
How do you prove tan(3theta)=(3tantheta-tan^3theta)/(1 …
Webtan2 (x) = 1 3 tan 2 ( x) = 1 3 Take the square root of both sides of the equation to eliminate the exponent on the left side. tan(x) = ±√1 3 tan ( x) = ± 1 3 Simplify ±√1 3 ± 1 3. Tap for … WebIf 1+sin2θ=3sinθcosθ, then prove that tanθ=1 or 1/2. Login. Study Materials. NCERT Solutions. NCERT Solutions For Class 12. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry; NCERT Solutions … Webtan (θ) = 3 tan ( θ) = 3. Take the inverse tangent of both sides of the equation to extract θ θ from inside the tangent. θ = arctan(3) θ = arctan ( 3) Simplify the right side. Tap for more … how will ai affect marketing