-) y = 7sec @ In 7 ) y = 5-cos 2t 5) y = 3tan@ In 3

Q: 2, 3π cot²( -B) if sin 2ẞ 4 5

A: Answer : 1.1879Let me know if you have any question, and please don't forget rate my…

Q: -5 sinx dx I = =? ecosx +3e-cosx ) +c COSX a) arctan 3 cosx b) arctan + C

A: To find ∫-5sinxecosx+3e-cosxdx

Q: 3. Prove that sinOtcos=1.

A:

Q: A, = AP, cos (lot + 20) Az=APz sin (lot - 40) when A, lagS A, by 210, since A, may be written as :-…

A: If, X=B1sinωt and Y=B2sinωt-θ, then, it can be said that Y lags X by an angle θ .

Q: 4. Use an appropriate half angle identity to find the exact value of cos15°.

A:

Q: Given f (t) = t^2 and g ( t) = sin 2t, obtain the convolution (f * g). -ea* -1- cos21) -er -1- cos…

A: Convolution Theorem : f * g t = ∫0tf(u) g(t-u) du   Integration by parts : ∫uv dx = u∫v dx -…

Q: 3) Show that 1 + cot Pe=csc²e. CSC

A:

Q: 3- If xy=cotxy, and x=u" u+1 Cosu +4 find , 허 du

A:

Q: 15. If S Sin 0 and C = Cos 0, simplify: S.C i) √√1-S² S.√√1-S2 ii) C.√1-C² C S iii) + S C (ans..:i)…

A: If , , simplify:i) ,ii) ,iii)

Q: S sin³x /cosxdæ =? O a. ( ?cos'z – cosz) vcosa + C O b. ) +c rt), O d. (cosr + cosz ) /cosz + C C.

A:

Q: I co cos (In x) dr

A:

Q: suppose that 2cos^2 x + 4sin x cos x = asin2x + c is an IDENTITY, determine the values of a, b and c

A:

Q: 2, 3π cot²( -B) if sin 2ẞ 4 5

A: See the attachment.Explanation:

Q: If cos t =-,what is cos 2t ? 4 |

A:

Q: 9) cos x = cos2x

A:

Q: 12 9. If sin x = and cos y = -13, where 0≤x≤ and ≤ y ≤n, find the following 13 a) tan(x + y) b)…

A:

Q: Ques tion I a) rimplify the tollowin g expression -1 [cos [ cos' (2n) + fin" cos

A:

Q: 11) cos x csc X tan x - 1 11) 12) cos2x - sin2x = 1 - 2 sin²x 12)

A:

Q: Which of these statements never can be true? A) tanx = 500 B) Cosx =0,999 () sinxcosx 5,000 = Q)…

A:

Q: -1-y 2. The triple integral S, S2 S, dz dy dx gives the volume of the region shown below.

A: To determine the value of the triple integral.

Q: d-) sin x cos??x dx =) 2. d-) Sin`x cos

A:

Q: 7) 3sin²x - cos²x = 0

A:

Q: a) sin(27-a)=? x)%3D?

A:

Q: 1 Find L-1 Ls2 +6s+18]

A: The given function is L-11s2+6s+18. The following formulae are used in solving the given function.…

Q: -5 .......

A: Given,           12-32ix+yi=cosπ3+isinπ3-5

Q: 1) What are the roots for y= x^2- 4x+13  A) (−4±6i)​/ 2 B) 4 ± 6i C) −4±6i d) −2 ± 3i e) 2 ± 3i…

A:

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

A:

Q: Re-write the following express lons tn term · of ex-ponentialS ;WXite the final·result as Simply…

A: Given: sin h (5-ln x)To express it in terms of exponential form: