WebIf secΘ−tanΘ=k, then the value of secΘ+tanΘ is A (1-k) B (1+k) C k1 D 1− k1 Easy Solution Verified by Toppr Correct option is C) given , secθ−tanθ=k ..... (i) Also , sec 2θ−tan 2θ=1 ..... (ii) Dividing equation (ii) by (i) , we get secθ−tanθsec 2θ−tan 2θ= k1 or secθ+tanθ= k1 Was this answer helpful? 0 0 Similar questions Web12 Mar 2024 · Let theta = $ sec$ + tan$ = k-----(1) we know , sec^2$ - tan^2$ = 1 (sec$-tan$) (sec$+tan$) = 1 hence sec$-tan$ = 1/k -----(2) now equation (1)and (2) 2sec$ = k+1/k=(k^2+1)/k sec$ = (k^2+1)/2k hence, cos$ = 2k/(1+k^2) hence sin$ = (1-k^2)/(1+k^2) Hope it helps!! Pls mark it as brainliest if it helped u!!
If secθ+tanθ=k, then cosθ equals - Byju
WebSoluciona tus problemas matemáticos con nuestro solucionador matemático gratuito, que incluye soluciones paso a paso. Nuestro solucionador matemático admite matemáticas básicas, pre-álgebra, álgebra, trigonometría, cálculo y mucho más. Web23 Jan 2024 · Douglas K. Jan 23, 2024 Use the identity sec(θ) = ± √1 +tan2(θ) Explanation: Given: tan(θ) = 4 Substitute (4)2 for tan2(θ) into the identity: sec(θ) = ± √1 + 42 sec(θ) = ± √17 Whether the secant is positive or negative cannot be determined with the given information. Answer link st barnabas christmas fair
How do you use tantheta=4 to find sectheta? Socratic
WebSince the t comes from the substitution of tan2, we can ignore the negative zero. As to why there are three ... secθ +tanθ = p and secθtanθ = q. Eliminate θ to form a equation between p and q. Notice that p2 − 4q = (secθ −tanθ)2. Now p2 = (secθ + tanθ)2, so p2(p2 −4q) = (secθ +tanθ)2(secθ − tanθ)2 = (sec2θ − tan2θ)2 = 1. Webראו סימון מתמטי . קוסינוס (מסומן ב- ) היא פונקציה טריגונומטרית בסיסית, המתאימה לכל זווית מספר ממשי בין (1-) ל-1. הרחבות שונות של הפונקציה משמשות במגוון תחומים, כגון: הגדרות שונות ב אנליזה (ובפרט ב ... WebWe know that, sec 2 θ − tan 2 θ = 1. Therefore, (sec θ + tan θ) (sec θ − tan θ) = 1. Since, sec θ − tan θ = 1 3 [Given] ⇒ (sec θ + tan θ) × 1 3 = 1. Thus, sec θ + tan θ = 3 st barnabas cheltenham