If x ln sec θ + tan θ show that sec θ cosh x
WebIf Sec θ + Tan θ = X, Then Sec θ = CBSE English Medium Class 10. Question Papers 939. Textbook Solutions 33590. MCQ Online Mock Tests 12. ... Solution Show Solution. Given: `sec θ+tan θ=1` We know that, `sec^2θ-tan^2θ=1` ⇒ `(secθ+tan θ)(secθ-tan θ)=1` ⇒`x(sec θ-tan θ)=1` ⇒ `secθ-tan θ=1/x` WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
If x ln sec θ + tan θ show that sec θ cosh x
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WebNow, θ sec θ + tan = x. θ θ sec θ - tan θ = 1 x. Adding the two equations, we get. θ θ θ θ ( sec θ + tan θ) + ( sec θ - tan θ) = x + 1 x. ⇒ θ θ θ θ sec θ + tan θ + sec θ - tan θ = x 2 + … WebThis problem has been solved: Problem 56E Chapter CH6.7 Problem 56E If x = ln (sec θ + tan θ ), show that sec θ = cosh x. Step-by-step solution Step 1 of 5 Consider the following expression . The objective is to show that . Chapter 6.7, Problem 56E is solved. View this answer View a sample solution Step 2 of 5 Step 3 of 5 Step 4 of 5 Step 5 of 5
WebMathCalculusIf x= ln (sec θ +tan θ) , show that sec θ = cosh x . If x= ln (sec θ +tan θ) , show that sec θ = cosh x . Question If x= ln (sec θ +tan θ) , show that sec θ = cosh x . … WebIf x=ln(secθ+tanθ)x=\ln (\sec \theta+\tan \theta)x=ln(secθ+tanθ), show that secθ=coshx\sec \theta=\cosh xsecθ=coshx. Solution Verified Answered 10 months ago Answered 10 months ago Step 1 1 of 4 We will prove that secθ=coshx\sec \theta =\cosh xsecθ=coshxwhere x=ln(secθ+tanθ)x=\ln(\sec \theta +\tan …
Web4 mrt. 2024 · If sec θ – tan θ = x/y, (0 < x < y) and 0°< θ < 90°, then sinθ is equal to: This question was previously asked in SSC CGL Previous Paper 68 (Held On: 4 March 2024 Shift 1) WebFind step-by-step College algebra solutions and your answer to the following textbook question: Express $$ \tan \theta $$ in terms of $$ \tsec \theta $$ for $$ \theta $$ in Quadrant II..
Web10 nov. 2024 · Solution. First, sketch a rough graph of the region described in the problem, as shown in the following figure. Figure 7.3.7: Calculating the area of the shaded region requires evaluating an integral with a trigonometric substitution. We can see that the area is A = ∫5 3√x2 − 9dx.
WebIf secθ+tanθ=p, show that secθ−tanθ= p1. Hence, find the values of cosθ and sinθ. Hard Solution Verified by Toppr Given, secθ+tanθ=p ⇒ cosθ1 + cosθsinθ=p ⇒ cosθ1+sinθ=p … dennis swinford umass bostonWebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. dennis sweet and associatesWebThe three main functions in trigonometry are Sine, Cosine and Tangent. They are just the length of one side divided by another. For a right triangle with an angle θ : Sine Function: sin (θ) = Opposite / Hypotenuse. Cosine Function: cos (θ) = Adjacent / Hypotenuse. Tangent Function: tan (θ) = Opposite / Adjacent. dennis system t shirtWebSolutions for Chapter 3.11 Problem 56E: If x = ln(sec θ + tan θ), show that sec θ = cosh x. … Get solutions Get solutions Get solutions done loading Looking for the textbook? This … ffo physiotherapieWebIf x= ln ( sec θ+ tan θ), show that sec θ= cosh x. ffop 2023WebIf coshx = secθ prove that (i) x = log (secθ+tanθ). (ii) θ θ = π 2 tan - 1 ( e - x) Advertisement Remove all ads Solution coshx = secθ ∴ θ e x + e - x 2 = sec θ { ∵ cosh x = e x + e - x … ffoo topWebAnalysis. This answer looks quite different from the answer obtained using the substitution x = tanθ. To see that the solutions are the same, set y = sinh−1x. Thus, sinhy = x. From this equation we obtain: ey − e−y 2 = x. After multiplying both sides by 2ey and rewriting, this equation becomes: e2y − 2xey − 1 = 0. ffoot bones