If 3 tan -1 x + cot -1 x π then x equals
WebExplanation for the correct option. Step 1. Simplify the given function. The given function f x = cot - 1 x x - x - x 2 can be simplified using properties of algebra and exponent as: Now, substitute x x = cot θ. f x = cot - 1 cot 2 θ - 1 2 cot θ = cot - 1 ( cot 2 θ) cot 2 θ = cot 2 θ - 1 2 cot θ = 2 θ = 2 cot - 1 x x x x = cot θ. Step 2. WebIn this video, we will find out the value of inverse of tangent of cotangent of x. Or we can say the value of arctangent of cotangent of x. As, inverse of ta...
If 3 tan -1 x + cot -1 x π then x equals
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Webπ π π π π π π π π π ∴ tan - 1 x + tan - 1 1 x = tan - 1 x + cot - 1 x - π x < 0 = π 2 - π tan - 1 x + cot - 1 x = π 2, ∀ x ∈ R = - π 2 If x < 0, then tan −1 x + tan −1 1 x is equal to π π - π 2. Suggest Corrections 1 Similar questions Q. If x < 0, then find the value of 2 (tan−1 1 x + tan−1x) Q. WebSolution: Let tan−1 x = p so, tanp = x tanp = cot(2π −p) ⇒ x = cot(2π − p) ⇒ cot−1 x = 2π − p So, tan−1 x+ cot−1 x = p+ 2π −p = 2π,∀x ∈ R
WebWe have, tan −1x+cot −1x= 2π The given equation can be written as : (tan −1x+cot −1x) 2−2tan −1x(2π−tan −1x)= 85π 2 2(tan −1x) 2−2(2π)tan −1(x)− 83π 2=0 tan −1x=− 4πor …
Web11 okt. 2016 · Explanation: cot−1x = tan−1( 1 x) Let y = cot−1x, then by definition of inverse. x = coty. x = 1 tany. xtany = 1. tany = 1 x. y = tan−1( 1 x) ∴ cot−1x = tan−1( 1 x) WebIf 3 tan-1 x + cot-1 x = π, then x = _____. Q. If y = sec-1 x + 1 x-1 + sin-1 x-1 x + 1, then write the value of d y d x. Q. If 3 sin-1 x = π-cos-1 x, then x = _____. Q. f: (0, ∞) → R is continuous. If F (x) is a differentiable function such that F (x) = f (x), ∀ x > 0 and f (x 2) = x 2 + x 3, then f (4) equals .
Web29 aug. 2024 · The equation tan–1x – cot–1x = tan–1(1/√3) has (A) no solution (B) unique solution (C) infinite number of solutions (D) two solutions inverse trigonometric functions class-12 1 Answer +1 vote answered Aug 29, 2024 by AbhishekAnand (87.9k points) selected Aug 29, 2024 by Vikash Kumar (B) is the correct answer. We have ← Prev …
WebIf 3 t a n − 1 x + c o t − 1 x = π, then x equals to (a) 0 (b) 1 (c) − 1 (d) 1 2 Please scroll down to see the correct answer and solution guide. interviewing vulnerable suspectsWeb30 apr. 2024 · Learn Inverse Trigonometric Functions Class 12 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 12 Mathematics Inverse Trigonometric Functions MCQ with answers given below. Question 1. The value of cot (sin–1 x) is. (a) … interviewing tips for teensWeb22 mrt. 2024 · Transcript. Question 36 If tan−1 x = y, then: (a) −1 < y < 1 (b) (−𝜋)/2 ≤ y ≤ 𝜋/2 (c) (−𝜋)/2 < y < 𝜋/2 (d) y ∈ { (−𝜋)/2,𝜋/2}y = tan−1 x We know that tan x is not defined at x = (−𝜋)/2, and x = 𝜋/2 Thus, Range of tan−1 𝑥 excludes (−𝜋)/2 and 𝜋/2 … new hampshire lake houses for saleWeb11 apr. 2024 · If 3 tan^-1 x + cot^-1 x = π, then x equals (a) 0 (b) 1 (c) -1 (d) ½ asked Sep 16, 2024 in Trigonometry by Shyam01 ( 50.9k points) inverse trigonometric functions interviewing the jacksonsWeb14 mei 2024 · By substituting the value of x = cot -1 (√ (1 + cot2 θ) – cot θ) It can be written as = cot -1 (cosec θ – cot θ) So we get = cot -1 (1/sin θ – cos θ/sin θ) On further calculation = cot -1 ( (1 – cos θ)/ sin θ) We get = cot -1 (2sin2 θ/2 / 2sin θ/2.cos θ/2) By simplification = cot -1 (tan θ/2) Here, = cot -1 (cot [π/2 – 1/2 θ]) So = π/2 – 1/2 θ new hampshire lake getawaysWebIf 3 tan –1 x + cot –1 x = π, then x equals 1. Explanation: Given that 3 tan –1 x + cot –1 x = π. ⇒ 2 tan –1 x + tan –1 x + cot –1 x = π. ⇒ `2 tan^-1x + pi/2` = π .....`[because tan^ … new hampshire landWebTour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site interviewing tips for the interviewer