WebSec Theta. Maths, Trigonometry / By Arun Dharavath. The secant function ‘or’ Sec Theta is one of the trigonometric functions apart from sine, cosine, tangent, cosecant, and cotangent. In right-angled trigonometry, the secant function is defined as the ratio of the hypotenuse and adjacent side. The mathematical denotation of the secant ... WebSee the proof below Explanation: We need tan2θ +1 = sec2θ Therefore, LH S = ((secθ +tanθ)2 −1)((secθ +tanθ)2 +1) ... secθ +tanθ = p and secθtanθ = q. Eliminate θ to form a …
If tantheta + sectheta = l , then prove that sectheta = l^2+l2l
WebIf tanθ+secθ=l, then prove that secθ= 2ll 2+l Medium Solution Verified by Toppr Given, tanθ+secθ=l tanθ=l−secθ squaring on both sides, we get, tan 2θ=(l−secθ) 2 sec 2θ−1=l … WebIf s e c θ = x + 1 4 x then prove that, s e c θ + tan θ = 2 x or 1 2 x. Solution Step 1: Find the possible values of tan θ using trigonometric identities Given that: s e c θ = x + 1 4 x ∵ 1 + tan 2 θ = s e c 2 θ ⇒ tan 2 θ = s e c 2 θ - 1 On expanding, we get bardolino lake garda restaurants
If sec theta + tan theta = p , prove that sin theta = p 2 - 1 / p 2 …
WebThe Pythagorean Identities are based on the properties of a right triangle. cos2θ + sin2θ = 1. 1 + cot2θ = csc2θ. 1 + tan2θ = sec2θ. The even-odd identities relate the value of a trigonometric function at a given angle to the value of the function at the opposite angle. tan(− θ) = − tanθ. cot(− θ) = − cotθ. Web4 jun. 2024 · ⇒ sec θ + tan θ = 1/P ---- (2) Adding equation (1) and equation (2) ⇒ 2sec θ = P + 1/P ⇒ sec θ = (P 2 + 1)/2P ⇒ cos θ = 2P/ (P 2 + 1) We know, sin 2 θ = 1 – cos 2 θ ⇒ sin 2 θ = 1 – [ (2P) 2 / (P 2 + 1) 2] ⇒ sin 2 θ = [ (P 2 + 1) 2 – (2P) 2] / (P 2 + 1) 2 ⇒ sin 2 θ = (P 4 + 1 + 2P 2 – 4P 2) / (P 2 + 1) 2 ⇒ sin 2 θ = (P 4 + 1 – 2P 2) / (P 2 + 1) 2 Web30 mrt. 2024 · Question 30 If sec θ + tan θ = p, then find the value of cosec θ Given sec θ + tan θ = p Converting sec θ and tan θ in sin θ and cos θ 1/cos𝜃 + sin𝜃/cos𝜃 = p (1 + sin𝜃)/cos𝜃 … su-sml