Find the smallest positive solution x: (sec(x)+4)(sec(x)+5) = 2 %3D Assume radians.

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A: Given :                    sec x + tan x = 1               in the interval [0,2pi) To find :…

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A: basic formulae required to solve the above question: cos2x=1-2sin2x function positive in…

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A: Here I am attaching image so that you understand each and every step.

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A: Explanation of the answer is as follows

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A: trignometric expression

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A: sec x=1+tan x⇒sec x-tan x=1   (1) sec2x- tan2x=1    (2)Divide (2) by (1)sec x+tan x=1     (3)Add (1)…

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A: To find the solution of the given trigonometric equation.

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A: Here, the given integral is: I=∫0πsin2x2cos7x2dx Substitute x2=t⇒x=2t⇒dx=2dt as x→0⇒t→0 &amp; as…

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A: tan x = 0 The solutions of this equation are of the type x = nπ

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A: Obtain the approximate values as follows.

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Q: Find all solutions of the equation in the interval [0. 2x). 3 tan e %3D

A: tanθ=32 θ=tan-1(32) θ=0.983   as the solution lies in [0,2π)   possible values of θ = 0.983+kπ where…

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A: Given:             sin x cos x=14,      [0, 2π) Multiply each term by 2 and simplify.…

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A: Given equation is tanx+5sinx=2. Need to solve the equation graphically.

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A: we use   cos(2x) = 1 - 2sin2x   The equation becomes 1 - 2sin2x - sinx = 1 2sin2x + sinx = 1…

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A: We need to solve the equation-   sin2x-cos2x=0    in interval [0,2π) Here we will use the following…

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Q: Зtan (4x) — 1 %3D 0

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