For Exercises 49–-54, use an appropriate Pythagorean identity to find the indicated value. (See Example 5) 7 for 25

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A: 19)  As it is that value of double angle ranges from 0 to pi radian value such that :…

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Q: 1. Use the trapezium rule to estimate the value of the following correct to four decimal places a) |…

A: 1a) It is required to estimate the value of ∫0π3tanxdx with 4 strip using trapezium rule.

Q: а L {sinh(at)} : given that sinh (at) = So %3D s2 -a? 2

A: This is a problem of Laplace transform.

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Q: con(-0) ain 0. 6. Show that y 2a cOs

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Q: following function: 1 + 4+ sin a p(x)

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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: 42. If g(0) = 0 sin 0, find g"(π/6).

A: Solve the given

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: For Exercises 1–2, simplify the expression. 1 1 1. cot 0 + 1 tan 0 + 1 2. cos x + + s xr - cos

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: For Exercises 43–46, given the values for sin t and cos t, use the reciprocal and quotient…

A: Consider the given trigonometric function sint and cost.The other trigonometric functions values are…

Q: 2. If tan 0= x2, which of the following is correct? Defend your answer. a. cos 0 = 1/V(1+x^4) b. sin…

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Q: Ex(i) Find the aln Ja that Mles fcas is Contincnity at X= I , where Cos X x to ーメ2 そa-3a+4 X =0

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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)

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Q: Please find all 0 <0 < 2n, for which .. (a) tan () = v3 (b) 3 sin? (0) + 4 = 5 (c) 2 cos(ln(x² + e*)…

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Q: 4. 70 30 Show work: trig ratio (sin, cos, or tan) of %= trig ratio: X =

A: sin 30∘=AdjacentHypotenuse=pq Here, p represents the adjacent and q represents the hypotenuse. p=x…

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A: Given functions are fx=sinx+a and gx=bsinx+c cosx. We have to find values of b and c for given…

Q: B) If sinh e V3 Find cosh 0, tanh 0, coth 0.

A: The function sinh(θ) is called the hyperbolic sine function. It is defined as sinh(θ)=eθ-e-θ2.…

Q: ) Solve Hhe following equation for X in [o,27) 2 Sin x -Sin t-1=0

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

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Q: Using appropriate substitution, ſ sin1º(x)cos³(x)dx is equal to: an

A: By using integration by substitution.

Q: ー49 a+ 22ト7 40 +3)Y-(sin 32) (Cos 2) +e

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Q: .... 2. .... 10 .... 50 Show work: trig ratio (sin, cos, or tan) of L = trig ratio: =7°

A: tan 50∘=pq Here, p represents opposite and q represents adjacent. p=x and q=10 Substitute the value…

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: Solve for "a" below. Opposite Hypotenuse sin e = Adjacent Hypotenuse cos e = Opposite Adjacent tan e…

A: In right angle ∆ABC The length of the side AB= 6 units and m∠A=65∘

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Q: 13. Finally, recall from class that the so-caled hyperbolic sine and cosine functions are defined in…

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Q: 22. Given that v3 cos x + sin x = R cos(x – 0), where R > 0 and 0 < 8 < , the values of R and tan 0…

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Q: If: e = a and ey = b Find the value of tanh(x) + sinh(y) for a = 0.77 and b = 0.35 %3D

A: We will use the following formulas sinh(x)=ex-e-x2,  cosh(x)=ex+e-x2 and…

Q: Use L’H0 spital’s Rule where appropriate

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Q: 2 10) Given sin A = - where <B<n , find tan(A+B). 2 < A< T and cosB where 4

A: Please refer to the image

Q: 47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the…

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Q: Find the value of the trig function indicated. 2) tan 0 1) cos 0 8V13 12 16 24 16 20 4) sin 0 3) sin…

A: From the diagram Opp = AB  Hyp = AC , Adj = BC sin θ = opp / hyp = 16 / 20 = 4/5 sin θ = 4/5

Q: e. Find sin (x – y) given that sin x = 8/17 with 0 < x < 90° and cos y = -24/25 with 180° < y< 270°.…

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Q: When do these values occur?

A: Given: On considering the oxygen level at  time t ∈ [0, π] L(t) = 90 + 10 sin(2t).

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A: To Determine: find the angles at the given values of n. Given: we have θ=sin-112n+1tanβ, where βis…

Q: (This is practice for my final, not graded). Please use the picture with the answers to help guide…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: e cos(x) = 1 + sin(xy) 2 2

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Q: Simplify the lefthandside so that LHS = RHS: 2 1+ cos(t) 1 – cos(t) 1 1 sin(t) tan(t) %3D %3D 1+…

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Q: 1. Find the exact value (not a decimal approximation) for sin(22.5°) (Hint: 22.5 = 45/2)

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Q: B) If E-o(sin x)2" 2 tan x then find the value of x. 00 %3D

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Q: 15. Explain the steps in verifying that the following equation is an identity. sec a sin e sin a cot…

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Q: As h approaches 0, what value is approached by sin ( +4) - h Hint: sin

A: To find the limit

Q: 30. For Exercises 27–32, find the exact value for the expression under the given conditions.

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Q: Use your calculator and solve for 0 (correct to one decimal place) your with the restriction that 0°…

A: Note: As per company guidelines we are supposed to solve only 3 subparts. So, kindly repost other…

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

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Q: a) Sinh 3t cos't

A: Since you post not connecting 4 questions as per our guideline we solve only first question for you.…

Q: fip when r = 0, if given y = tan (sinh z). Find dr

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