7. Determine the solutions for sin x 1- cos x sec x x € [- 2₁1, 1] (Hint: simplify the equation first) in the interva

Q: 1. Find the derivative 4 ln 2) ³ 3x³ sin(2x) 5x2+3

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Q: 4 A. sec* t- sec² t = tan´ t+tan* t

A: The given identity is,sec4t-sec2t=tan2t+tan4t

Q: 48. Simplify a. 1/cos x b. 1/secx c. 1/tan x d. 1/sin x 1 sin³ x col² x sin x

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Q: Determine exact solutions for the equation 2sin2x-3sinx + 1 = 0 in the interval x e [T, 3n].

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Q: Differentiate the following functions. Simplify and factor your answer where possible. a) f(x) = e2x…

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Q: ifferentate: f(x) = COSX 1+sin x Apply the quotient ru

A: Topic:- application of derivatives

Q: Solve the equation (tan x + 1)(sin x - 1) = 0 on the interval [0, 2π).

A: (tan x + 1)(sin x - 1) = 0

Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: Solve the equation sin(x) - cos(x) =1. from[0,1].

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Q: 2270 d) V3 cosx + sin x = 0 (-2x, 0]

A: First, we rewrite the given equation in a more familiar form. The given equation…

Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

Q: cos x II. S .dx V1-2 sin x III. Stan³x sec*x.dx

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Q: 4. Prove that cos(sin¬1 x) = /1 – x².

A: cos(sin-1x)=1-x2⇒sin-1x=cos-1(1-x2)Let y=sin-1x                               (1) ⇒siny=x…

Q: (3 tanx-2 cos y)sec" xdx + tanxsin yay = 0

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Q: 2. (a) Show that V3 cos x-sin x COS where 0<x<2r . 2 (b) Using the result in (a), solve the equation…

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Q: Solve sin 2x = - sin x for the interval x E [0, 31].

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Q: sin x (cos x + 4) dx 1+cos?x

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