Find the values of a, b, c so that a e* -b cos x + ce* lim 2. x sin x

Q: Suppose csc(x)= = √43 A 5 34 B 5 43 - 5 -√34 5 √34 and cos(x) <0. What is the value of sec(x)?

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: Prove the identity. 3 sin(x - y) 3 tan x - 3 tan y = cos y cos x

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Q: sin z Q1-Solve by hospital rule lim -cos I

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Q: sin 2r tan 3r (a) lim

A: We have to find

Q: Which of the following is not equal to 1? tan x lim 3 sin x lim x→0 3x 1 sin lim 1 O All of the…

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Q: Find cos x if (1, -3) is a point on the terminal side of x.

A: Given :             (1,-3) is a point on terminal side. To find :              The value of cos x.…

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Q: 1 o. = 0. Show that lim x² sin -| *

A: Use the property that -1≤siny≤1. Take y=1x, then -1≤sin1x≤1

Q: CianXtl) 2 tan x 8. Prove the identity: sin 2x = 1+ tan x L.S. es

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Q: b) lim, . sin(8z)

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Q: Evaluate sin? 3x lim X0 1- cos 2x

A: The objective is to evaluate limx→0sin23x1-cos2x Since, limx→0sin23x1-cos2x is 00 form.

Q: 2 cos(5x) – 5 x² – 2 sin(3x) – x2 – 3x - lim - - (Write your answer in the given box)

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Q: Given that –xª + 1< sin(x) < 3 – 2 cos(x), what is lim sin(x) :?

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Q: Find the limit of the trigonometric function .

A: We have to find the limit of the function: limx→06-6 cos x3 This is determinate form of limit so we…

Q: A. Bernoulli's Egquation 2. (3 tan X - 2 cos y) sec?xdx + tan x sin ydy - 0

A: Explanation The equation is in the form dydx+P(x)y=Q(x)yn is called the Bernoulli's equation Now we…

Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

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Q: Rewrite 1 sin(x)+ 2 cos(x) as A sin(x + 4) %3D Note: o should be in the interval-T <¢ < II

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Q: Complete the identity. sin 2x- tan x = ? O A. tan x cos X O B. - tanx cos 2x O C. tan x cos 2x O D.…

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Q: Find the W (sinx,cosx , sec x).

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Q: et sin x – x lim x → 0 3 cos x – 3 - (Us

A: Given: limx→0exsinx-x3cosx-3   We know that; The Product rule: f·g'=f'·g+f·g'

Q: cos(2x)–1 lim x'+ 5x ? 3

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Q: 2. Verify the following identities (a) sec e - tan@ =sec 0+tan6 sec 8+tan 6

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Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the…

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Q: is cos x = 1/sec x an identity

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Q: sin (z) 1-con(E)

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Q: 05. lim, (e* - 1)cos x

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Q: Q1: lim,»1 x(1 – cos-)

A: Evaluate: limx→1 x1-cos1x

Q: Find all values of x in the interval [0, 2n] that satišty the equali 6 + 3 cos(2x) = 9 cos(x) X =

A: We have to find

Q: 3 cot(0) Find lim 00 tan(30) Select one: O a. 2 O b.-2 O c. 1 Od.-I

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Q: The value of a and b so that X(1 + a cos x)- b sin x lim =1 are .3 to 3 3 5 (b) 2 2 (a) 3 5 (c) 2 2…

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Q: tan e lim is 3 5 sin e O a. 1 5 O b. 5 Oc -1 O d. o

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Q: Use the identity sin 20 = 2 sin 0 cos e to evaluate lim sin 20 – 2 sin 0 | 02

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Q: If (tan r + sec x)² A + sin x В - sin x then A B =

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Q: Q1: lim,-1 x(1 – cos-)

A: The objective is to find the value for limx→1x1-cos1x Since the given function is continuous…

Q: If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim [₁ sin nx dx = 0. n-∞ JA

A: Given that if A⊂0,2π and A is measurable, the objective is to prove that limn→∞ ∫A cos nx dx =…

Q: Complete the identity. sin x COS X =? sin x COS X O A. sec XCSC X O B. sin xtan x O C. - 2tan x 2.…

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Q: If F(x) ニ Sin ocde then a) Cos x り Sin (-3) ) Sim x d, Sin Ti

A: We have to find F'x.

Q: b) Algebraically prove the identity. ***ty. csc x-sin x cos x cot x. a) Verify the identity for x=…

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Q: If f(x) = cos x - 6 tan x, then find: ƒ'(x) = ƒ'(5) = A 9-

A: See this solution

Q: * Find the value of Tx3 + 2 lim [sin (- x3 +1 X00 1 O O O

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Q: Complete the statements.

A: a). As x→-1+, sin-1x→-π2

Q: If f(x) = 6 sin- (x), then f'(x) =

A: We have to find solution

Q: Evaluate lim,→0 ela-cos 7x 8 sin x 7

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Q: The relations cosh(i t) = cos t and sinh(i t) = i sin t were discussed in the Excursion. Use these…

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Q: Prove the identity. 3 sin(x – y) cos y cos x 3 tan x - 3 tan y

A: Given that  3tanx-3tany=3sin(x-y)cosycosx We need to verify the given identity.

Q: Find the value of lim ((n + 1) cos (n + 1) cos¯¹ (1) − n) n

A: Given: limn→∞2πn+1cos-11n-n To find: The value of given limit.

Q: 1. Evaluate 2. Evaluate sin(20) 30 x-2x cos x sin x limo lim, 0

A: Given is  limθ→0sin(2θ)3θ. L'Hospital rule: limx→af(x)g(x)=limx→af'(x)g'(x) NOTE: According to the…

Q: Form the differenti al equati on by eliminating the arbitrary constants A and B from the equati on y…

A: Here we have the equation  y = ex (A cos x + B sin x)

Q: (a) Show that lim | x| cos = 0.

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…