1 2 1 sec? nt) tan (nt Ttt ) Ttt ) dt 0.

Q: snip

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Q: Find g'(0) if g(0) = –4 sin(30) +2 tan(50) – sec(70) -

A: Since you have asked multiple questions in a single request so we will be answering only first…

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Q: The value of the integral 7 | (27 tan? x – 27 sec²x)dx %D -

A: Given that: ∫57(27tan2x-27sec2x)dx

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A: To simplify the fraction, multiply it by (1-sint)

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Q: -1 (d) sin(sin¬! 0.8) (e) tan-'(tan ) (f) sin¬'(sin 2)

A: Part (d),Given,Sin(sin-10.8)

Q: rĩ sec² 0 (e) tan 0 do. Vtan 0

A: That's easy. Have a great day!!!

Q: Find the derive I. y: sin (x²+3) 2. y=tan (4x*) cot (3x-8) %3D

A: We are solving the first three subparts and for the next questions post the question again and also…

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A: Find your answer below

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A: Consider the integral  ∫0π/24xtan26xdx

Q: 8. Which is the exact value of tan 75° using sum of tangent ? A. V2 + 3 B. 2 + V3 C. V2 + V3 D. V2 +…

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Q: Prove that d/dx tan(x) = sec^2(x).

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Q: exp in)) (exp(- - ίπ) dxa 0.3679 cos TT - i sin Tt -0.3679 - exp(cos Tt - i sin Tt)

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Q: sin' (2t) cos? (2t) dt

A: Use the substitution and replace the terms by new variable and solve easily.

Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

A: x= sin 3t     and y=cos 3t     for    0≤t≤π3 We need to eliminate the parameter i.e. we have to…

Q: (-등, 풍) satisfying TT Find all values of 0 in the interval 2 2 2 the equation (1 – tan 0)(1 + tan 0)…

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Q: Find the exact length of r = 3 sin 0 + 4 cos 0. II

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Q: 1 1. 2 sec A tan A %3D 1-sin A 1+sin A

A: Given expression is, 11-sinA-11+sinA=2secA tanA Consider the right left hand term of the given…

Q: Determine whether the statement is True or False. Verify it. If æ = sec(0) then S 22-1 dx S (sec 0)…

A: Here we use some standard trigonometric identities. We know that,           1+tan²x = sec²x

Q: 22. tan?0 sec+0 d0 26. /4 sec'0 tan e de

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Q: 13. sec*0 sin 8 de

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Q: Evaluate the integrals

A: 71). To evaluate the integral: ∫tan2x+sec2xdx Solution: We know that, sec2θ-tan2θ=1⇒tan2θ=sec2θ-1…

Q: D,(6 tan x) 6 sec² x sec² x (c) D,(In |6 tan x|) %3D 6 tan x 6 tan x tan x

A: Consider the given function as Dxln6tanx

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

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Q: Compute tan" z · sec² æ dæ. O tan12 z tan10 z +C 12 10 O tan° a tan10 a +C 10 tan12 a sec æ +C 3 12…

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Q: 19. TT/2 -π/2 sin 0 de 20. * sec² 0 de

A: 19 ∫-π/2π/2 sinθdθ [-cosθ ]-π/2π/2 0 - 0 =0 other way sin is odd function so also integration is = 0…

Q: Done Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D 6 Reply 1 Forward

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Q: ngle Belo 1. Sin B = 30 34 2. Cos B = 3. Tan B %3D 16

A: Given problem:-

Q: Verify the identity sin t - cos 2t = (2 sin t - 1)(sin t + 1).

A: sin t - cos 2t=(2sin t-1)(sin t +1)Formulascos 2t= 1-2sin2t

Q: (1+ cot A – csc A) (1 + tan A + sec A) = 2 -

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Q: Z is a complex variable z=x+iy  question attached as photo

A: Consider the closed integral

Q: Verify the identity: tan 2t = 2 sin t cos t sec 2t.

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Q: sec® tan Od® coso A) tane В sece sec?0

A: topic - indefinite integral

Q: why we useltn@) inATOA tor) (sec 1 tan 0 sin 0 cos 0 A(1, 0) Pr FIGURE 2.30 The figure for the proof…

A: We know that  Tan(x) =sin(x)/cos(x)

Q: Q1/A/ Sketch 7 + 4 sin 0 + 3 cose

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Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: sec e cos e O cos?9 cos²0 01 O sec?0 ||

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Q: 1. Find the exact val a) sin 3π 2 b) cot (210°) c) sec (-765°)

A: topic:- trigonometry  note:- As per our guideline if more than one question posted than only first…

Q: Approximate to three decimal places.

A: Given: Approximate to three decimal places(a) tan 21°10'=0.3838646=0.064

Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

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Q: Q1- Show that cote)+tan(e) a. cofe)-tan(9) sec(20) b. sin(36) = 3 sin(@) - 4sin (0) = Se %3D

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Q: 0. sin*(x) dx = R, 3 -Tt, what is 8. Given that sin (0) de?

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Q: 1/2 sin? x + sec² x ) dx (1+ cosx)²

A: To find the integral of ∫0π/2sin2 x1+cos x2 + sec2 x dx Let us first simplify the integrand, sin2…

Q: Q7 tan (0) sec (0) de is equal to: sec (0) - 3sec (0) + C 3sec (0) +C 3cos (0) +C tan (6) sec (0)…

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Q: The value of the integral 6. | (30 tan?r – 30 sec²a)dx 2 -4 120 - 120 O 4 ||

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Q: Given: tan(0) 12 %3D find sec(0). = 12

A: Trigonometry Ratio's tanθ =PBsecθ=HB By Pythagoras theorem , H2 =P2+B2 Where H is hypotenuse , B is…