J. PIove the following identity 1 COS X tan2. 2 %3D 1+ cos x

Q: 04.) Show that y= (sin x +cos x) sec x = see? x

A: Use the trigonometric identities and simplify to prove the given expression. Also check for a value…

Q: Find the value of s in the interval 0, that satisfies the given statement. cos s = 0.6707 radians…

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Q: Find dr/dθ in cos r + cot θ = erθ

A: Differentiate both sides with respect to θ

Q: Find x where 0 <x < T. 2 cos?x = 1 Enter the smaller answer first.

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Q: Which of the following is the value of the integral 1 (sin z + |cos a|) dæ ? 2

A: Given that ∫0π 12 sinx +cosx dx find out the integral

Q: QuestionTO cos( z+ Da sin(e-2+ In(z)) + C 4 Ob. -4 sin(e-z+ In(z)) + C Oc. --- sin(e-z+ In(z)) + C 4…

A: Given query is to evaluate the integral.

Q: Conuert llSo to Your result in ter ms the Frac Hlon 6. radians Express IT and reduce terms to lowes…

A: 1°=π180radian

Q: Choose the method(s) below that could be used to verify the following identity (sin z - cos z) =1-2…

A: It is given that sinx-cosx2=1-2sinx. Consider sinx-cosx2. Simplify sinx-cosx2 as follows.…

Q: 5) find the awnsers Sinh x = 39/80 Cos h x = ? Tan h x = ? Cot h x=? Sech x=? Csch x=?

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Q: plify the lefthandside so that LHS = RHS: sin(a) 1+ cos(a) sin(a) 1- cos(a) 2 tan(a)

A: Given problem:-

Q: Which of the following equations is equal to 1 A cosh (x) – sinh2(x) (B tanh²(x) – sech2(x) ©…

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Q: 7 4 CO 5 3.

A: we have to find left hand limit and right hand limit if both equal  then limit exist

Q: Solve for y cos>x + jsinycosy - sin?x = 0.866 + jo.5 (А) 15° В) 45° (© 15°, 195° D 45°, 225°

A: Using the properties of the trigonometric functions, it can be written that:…

Q: ve the following identities! no tan 0 sec 0 cosec e cos e 1+cos e

A: Please refer to the image below

Q: 3. Mark was tasked with finding the exact value of tan(x+y) given that sin x = where -<x n and cos y…

A: Given that, sinx=725  and cosy=45

Q: Slove for the following interval Tan A/2 + 1 = cos A

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Q: Use the given substitution to evaluate the following indefiniteintegrals. Check your answer by…

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Q: (1) /=. | x° cos 2rdx (2) /* e cos xdx

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

Q: Compute the following using a calculator: cos(). Round your answer to two decimal place= 10л 9

A: Given,     cos10π9

Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

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Q: Find the area lying outside r = 6 cos 0 and inside r = 3+3 cos 0. Area =

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Q: tan? x (1+ sin² x) dx cos? x (9) (10) / (V – 1)° dx

A: 9 Given  is        I=∫tan2x1+sin2xcos2x  dx      ∵sinθcosθ=tanθ   1cosθ=secθ      I=∫tan2x…

Q: 1. Evaluate the following using (a) (2² – x) cos r dz

A: (a)  Given: ∫x2-xcosxdx

Q: Q1/ Answer the following: (a) Show that sin-x + cos-1x = " 2 x(x-y) (b) Find the value of tan-1…

A: Note: "Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Use teh appropriate identity to find sec 0 if cos 0 = 0.601752. Round to six decimal places. ..... O…

A: Given  Cos a = 0.601752 We need to find the value of sec a

Q: dx 4. Evaluate cos? ' x (tan x + 1)

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Q: Which of the following is(are) true? (Choose all applicable answers.) O coth x = e +ea -e-x cosh x =…

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Q: Evaluate: S tan 0 Insec@d0 A. 2(In sece)? + C c. (In sece) + C B. (In sece)² + C D.극(In sece)2 + C…

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Q: 4. Which expression is equal to tạn sec I cot using identities? CSc a O tanr+ cot x sin x cos 2 tan…

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Q: Find the reduction formula for tan x . (ie Stanxdx= ? Using this find Sten'xdx .

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Q: find area Inside the circle r = -2 cos 0 and outside the circle r

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Q: FIND dy/dx for the following Question sin x.cos x 1+2.In x 3 y cot x (ans.: 4 tan x 2 27) 2 x(1+ 2…

A: Given: y43=sinx cosx1+2ln x   ...(1)To find : dydx=?Formula: sin 2x=2sin x cos xcos 2x =cos2 x-sin2…

Q: be (a) sin-z= linz+c (b) sinh2= lnr+c (c) cosh = Inr+c (d) tan-= 1In r+c (e) None of the above 21

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Q: ind on the error that can result if cos(x) is approximated by 1 - (x2/2!) + (x*/4!) o Enter answer…

A: Here we have to find an upper bound on the error that can result if cos(x) is approximated by…

Q: 2)Solve overr the inter val [o, 360°) If necessary round to the nearest tenth of a degree. Sin o…

A: we need to find  θ

Q: Evaluate the following composite functions, giving answers in exact form. Use of right triangles is…

A: note : as per our company guidelines, we are supposed to answer only first 3 sub parts of the given…

Q: 1. Evaluate: sin (x) cos? (x) dx.

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Q: (a) Find the approximations Tand Mo dx. (Round your ansers to si decimal places)

A: (a) The trapezoidal rule is: Tn=∫abf(x)dx≈∆x2f(x0)+2f(x1)+2f(x2)+...+2f(xn-1)+f(xn)...(1)Where,…

Q: a. Find 2 of the following. dx 1. y = cot? [sin (Tan-1

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Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: Given that cosx=-513   and   x∈π2, π. This implies that, sinx=1-cos2x         ∵x lies in…

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: d x 2. After making the trigonometric Sub stitution x=3 tan o

A:

Q: S sin? x dx Evaluate 1+cos x

A: ∫sin2x1+cosxdx

Q: Suppose we are given the information that m (x) = arcsin(x) + . Which of the following is correct? O…

A: Given:          m-1(x)=sin-1x+π4           ...(1)          Let  m-1(x)=y, then  m(x)=y-1        now,…

Q: Compute the following using a calculator: sin(). Round your answer to two decimal places.

A:

Q: At what value(s) of x does cOS x = 6x? (Use a comma to separate answers as needed. Type an integer…

A: Here the given equation  cos x =6x

Q: cos( dx x2

A:

Q: (c) Using the hyperbolic identity cosh² r – sinh r = 1, and without using a calculator, find all…

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Q: Find the value of s in the interval 0, that satisfies the given statement. cos s= 0.8642 S= radians…

A: Given thatcos s=0.8642

Q: Integrate the followings sin cos dx cos - 4

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.