5. The sum of the series (-1)" T is 320 (2n)! ロ=0 a) cos t C) cos 3 TC b) sin d) %

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Q: Which of the following statements are always true? 1. S2 dæ •T/2 da /2 71+cos7 x 71+sin" æ II. (2² –…

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Q: 5 sin a-3 cos a If 5 tan a 4, Show that 5 sin a+2 cos a 116

A: Trigonometric identity: tanθ=sinθcosθ Consider the given mathematical statement in the question are…

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

Q: 4 tan a = < a < t; cos ß = 7,0<B< 3' 2 %3D a) sin (a + B) (b) cos (a + B) (c) sin (a – B) (d) tan (a…

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Q: 1. Show that Sº, cos dx COS L m +n L n=m

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Q: Answers for a in Quadrant II and cos3 3. - for ß in Quadrant III. 4 30. cos (a - B); sina %3D %3D

A: Formula used - Cos(A-B) = CosA CosB + SinA SinB  Sin^2A + Cos^2A =1

Q: a? -1 a a cos + C dv 1) Using find SVe* V 2x 4 dx (Hint Let V = eX)

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Q: How can we express the length of the dashed blue line? sin 12 n/3 O cos 6. 05 O tan 6 How can we…

A: Given query is to find the length of the indicated lines on unit circle m

Q: 1. Find (2x – e") dx e*) dæ

A: Please specify which part is to be solved. In this question we have to find the integral,  (1)…

Q: ON 3 sec3(In x) + sec2(In x) tan(In x) 2х n x) tan(In x) n x) dx c³(In x) + sec²(In x)

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Q: (1) sin x = 1 2 √√3 (Ans. cos x =±~ 2 , tan x = t. 1 =, csc x = 2, sec x = ±- √√3 2 = , cot x = +√3)…

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Q: Proof without words: Double Sum for Sine and Cosine cos 20 -1-2 sin sin 20 - 2 sin cose

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Q: 8+5 cos n n=D1 in

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Q: 9 Find 0 if 0<0 < 2n and: d sin 0 = 1 h cos? 0 = i tan 0: i tan? 0 = 3

A: To find θ if 0 ≤ θ ≤ 2π  sin θ = 1cos2 θ = 12tan θ = -13tan2 θ = 3

Q: (3) Find the coefficients of the half-range even (cosine), odd (sine) and periodic extensions…

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Q: The value of the integral (s cos (r) dr is S COS Select one: O s(cos(2) – cos(0)) -

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Q: Solve 2 sin (z) – sin(z) = 1 over the interval (0, 2) O z= O z= 5, O z= ,, 2'6

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Q: Scos(ex).cos"x dx

A: ∫cos3x.cos2x dx=∫cos(5x)+ 3(cos(3x) + cos(x)) +cosx8dx= 18∫cos5x dx + 38∫cos3x dx + 12∫cosx dx=…

Q: 41 Prove al tanx + cosx= Sin X (sec x+ Cot x) メ b) Cos 2 ttan' t= Sin? t es Cos? (tan"x+ 1 = 1 %3D

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Q: P/4 4-p dx = 4+p Prove that: x sin x+cos x

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Q: 8. / (V80 – x² 0.3 cos(1.2x + 1.3) + 5) dx -

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Q: Using the following definitions: sin (a) sin² 0 + cos² 0 = 1 (b)(cos) = - sin (c,d) sin(0₁ ± 02₂)…

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Q: 2. Find sin 02 t where sin At = Σ(-1)n-1 n=1 A2n-1 (2n-1)! t²n-1.

A: Given: sinAt=∑n=1∞-1n-1A2n-12n-1!t2n-1. To find: sin2102t.

Q: 7 a Show that for all positive integers n: 27 2n sin nx dx = 0 ii cos nx dx = 0

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Q: If x=5 cos 0 (where 0<0<), then 2 sec 0+5 tan 0 = ...

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