Which of the following is true? sin x dæ = - In | cos a+C tan x da = In cos a + C O DIn(tan x)] = 2 csc 2x %3D cot x da = In| csc x|+ C O D, csc x - cot x

Q: sin(z) Since tan(x) we can use the quotient rule to find tan(x). %3| cos(z) ' dz sin(z) 2 Which of…

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Q: a) Show, from 1st principles, that if a small angle x is measured in radian, then: i) ii) sin x = x…

A: take a triangle as below :

Q: Prove the following identities: tan 0- cot 0 sec? e - cosec 0 = tan? 0- cot? 0 sin O cos 0

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Q: Which ratios are equivalent? sec e 1 COS 0 sin 0 sec 0 = cos 0; cse 0 = sin 0 cse e = = cos 8; sec 0…

A: We have to find which ratios are equivalent. Also, find which is equivalent reciprocal to of cot75°.

Q: Verify the identity. tan 0. cos e• csc 0 = 1 Which of the following four statements establishes the…

A: This is a basic trignometry question

Q: Complete the identity. sin x coS X :? sin x cos X O A. sin xtan x O B. 1+ cot x OC. - 2tan x O D.…

A: Given

Q: Which of the following is FALSE? 01+ tan? x = sec? æ 1 sec x = CSC x O cot x sin x= cos x = COS X O…

A: Solution ) We know that  1) 1 + tan2x = sec2x 2)Sec x = 1/ cosx 3)Cotx sinx     [ cotx = cosx/sinx]…

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: What must be the value of A so that cos(x + y) – cos(x – y) = A sin æ sin y? O 1/2 O -1/2 O -2 O no…

A: Using the formulas of cos(x+y) and cos(x-y)

Q: dy - cosec'x. cos x (i) By differentiating 6 show that if y = cot x then sinx' dr (ii) Show that x…

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Q: Is the following indentity true? 1-sec(r) _ cos(r)-1 1+sec(x) cos(x)+1

A: We have to identify that the identity 1-secx1+secx=cosx-1cosx+1 is true or not. We know that…

Q: 1. sinh^2x + tanh^2x=? 2. What is the value of tan A if cot 2A cot 68= 1? 3. Let h(x) = 3x + 12…

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Q: 10. Given 2 <x < 2n, which of the following is/are negative? A. sin C. sin and cos 2 B. csc5 D. cos…

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Q: Which of the following is equal to cos 0 1 - sin 0 1 + sin 0 [A] cos O 1 + csc 0 [B] csc 0 1 [C] sin…

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Q: Apply Newton’s approx. to find the value of x for cos x = sin x; ?0 = 1.

A: The given equation is cosx=sinx; x0=1.

Q: The following is equivalent to the choices below except | (tan (x)+ 1) dx 1 dx cos? (x) sec (x) dx…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Arrange the given steps to correctly verify the equation. sin x cotx cos x CScr 1 sin r (sin r sin r…

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Q: Which of the following equations are true for all values of 0 in the interval (0, Select all that…

A: Trigonometric identities: tanθ=sinθcosθcotθ=cosθsinθcosecθ=1sinθsecθ=1cosθ

Q: 5. Verify the following identities. sin(A+ B) cos A cos B a. = tan A + tan B b. sin = cos 0 sin 6 с.…

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Q: Which of the following is true? | sin“ zdz (1+ cos a + cos² 2æ)²dx Ob. sin zdr = (1 – cos 2z)²dæ 2 1…

A: Given data: ∫sin4xdx We know that 2sin2x=1-cos2x Therefore, we get…

Q: Which identity is most useful in evaluating cos x dx ? cos 2x 1 2 sin? a %3D | COS T sin a - 1 O…

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Q: Match the equivalent expressions. O 1- sin?(0) a. cscʻ(0) O sec?(0) – 1 b. tan (0) - O 1- cos (0) c.…

A: The objective is to match the equivalent expressions.

Q: 18. Which expression is equal to + tan x using identities? tan r 1 sin z cos x sin x cos x sin a Cos…

A: Which expression is equal to??

Q: tan z cos a 1 -dr = cos? z O a. sin a - sec" r +C O b. cos? z 1+ C O C. sec a tan a + C O d. – tan a…

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Q: 1. Complete each of the following: a) sin  = d) sin Ĉ = b) cos  = e) cos Ĉ = c) tan  = f) tan Ĉ =…

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Q: Which of the following expression is equal to (sin e– tan 0)(cos e – cot 0) ? Hint: Prove using…

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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: Which of the choices is equivalent to sin(x) cos(x) cot(x) csc(x)? O csc(x) – sin(x) O cot(x) –…

A: The given term is:sinxcosxcotxcscx

Q: Which of the following is true? ot æ dæ = In | csc x|+ C O D. csc x = cot x ° sin æ da = – In | cos…

A: Here we have to determine which statement is true.  a) ∫cotxdx=ln|cscx|+Cb) Dxcscx=cotxc)…

Q: 4. f(x) if f(x) - In(sin?x cos?x) a. 4 tan 2x b. 2 tan 2x c. 4 cot 2x d. -4 cot 2x

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Q: 9. Which expression is equal to sin x tan x + cos x ? b. sec x a. sin x C. COS X d. sec x 10. What…

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Q: which of the following is equivalent to cot squared x (1-cos squared x) for all values of x which…

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Q: If sin x + b? cos x = r cos (x + a), where b e 0} and a and r are positive constants, then r and tan…

A: We will find out the required values.

Q: Find an equivalent expression to sin (z+) a) sin(2)-√3 cos(z) 2 b) √3 cos(z)+sin(z) 2 O c) -…

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Q: 1. Which of the following is not true? a. Sin?ø + Cos²Ø = 1 b. sin 6 = 2 sin 6 cos 6 c. 1- cot?x =…

A: These all are forms of                               "Trigonometric Identities".

Q: 3. Simplify the following expresssion: sin*e-cos4e а. sin 0 cos e sec20-tan?0 b. cose+cot 0 sin 0 С.…

A: Given:  a. sin4θ-cos4θsin θ cos θb. sec2θ-tan2θsin θc. cos θ+cot θ sin θsin θ To Find: To simplify…

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: 2. Prove each of the following identities: (a) sin x sin x cos? x = sinx Answer: (b) cos x/1-sin x…

A: Given identities  (A) sinx sinx cos2x=sin3x Put x=90° we get LSH=sin90° sin90° cos290°=0…

Q: (1 + tanʼx) cot’x = sec x cot°x Rule ? cot’x Rule ? cos x 2 cos x Rule ? sin 2 cos x sin x 1 Rule ?…

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Q: On what interval is the identity sin (sin x) = x valid? (A) [0, 2x] (В) (C) [0, x] (D) [-1,1] (E)…

A: Given identity

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: 1. Find the identical expression for the following. sin x(sec x- cotx) sec x a. b. cotx-sin x c. cos…

A: The objective is to find identical expression of given trigonometric functions .

Q: Which of the following is true? @ Ssin°(x)cos°(x)dx = cos (x), cos®(x) cos1°(x) + C 10 + - 4 B All…

A: Given:

Q: 1. Which expression is equal to tana + rec r cot a using identities? sec r tan x – cot x tan x + cot…

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Q: 5(sec? z – tan? x – 5) sinr + cos? x sin z 3 O 5 csc z O - 20 sec a O 25 sec I O - 20 sin z O -20…

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Q: Prove: sin?(x) tan(x) + cos?(x)cot(x) + 2sin(x)cos(x) = tan(x)cot(x)

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Q: Which of the following is true? sin (e) – cos (e) = 1 CO %3D sin (e) + cos (e) = 1. %3D sin(e) +…

A: The right angled triangle ∆ABC is shown in the figure given below.   In triangle ∆ABC,AB=xBC=y By,…

Q: Which of the following is not equal to sin x cos x dx? o 1 (1 – cos? x) + C | O All of the choices…

A: Topic = Integration   Using formula ∫xn dx = xn+1n+1 +C

Q: erify the following identities: 1-sin(x) 1-sin(x) %3D V1+sin(x) |cos(x)| sin*(x). cos?(x) = cos?(x)…

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