IT y = /tan x then equals dx O 1) sec? 2/tan x 2) -sec? x 2tan x O 3) sec? x /tan x 4) - sec? x Vtan x

Q: tan? x sec² x + secx Prove -cos x

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Q: (2) cothx-1=csch?x %3D

A: To prove that  coth2x - 1 = csch2x

Q: Q: Prove the following identitie: (1+tan A tan B) +(tan A - tan B)* = sec' A sec' B.

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Q: S(sec a tan x 5æ4)dx tan x + x +c - sec x + x' + c sec x – x5 + c sec x + x +c sec x – x + c

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Q: 6. By using u = tan 0, evaluate | tan 0 sec*e de .

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Q: d (sec x) show that secx tan x. dx

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Q: y = -2 - tanx + 4

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Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: sec' x dx 1-tan? x

A: Solution; the objective is to find the value of the given integral

Q: x+ cos X Find the derivative of tan x . O A) tan x+ tan xsin x+ xsec x+secx tan? x tan x(1+sin x) O…

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Q: 1 sec x sin x CSC X cos X tan x

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Q: 4. The 1" derivative of y : cotx a) xsec?x + tanx b) xsecx - tanx c) cot x + xcsc'x d) cot x - xcscx

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Q: By using u = tan 0, evaluate tan 0 sec*e de.

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Q: Find, tan(x / 2)dx A) (1/2) sec (x/2)+c C) 2 sec (x/2)+c B) 2m sec(x/ 2)+c D) (1/2n sec(x/2) +c

A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

Q: V3 Tan" (-V3) Cos"(-1) 3. Sin 2 1. 2.

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Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: (sec'x - 1) cscx -1) sec x CSCX = tan x CSCX Algebra sin x Reciprocal %3D CScx cos x sin x 1 %3D…

A: Given that:-      sec2x-1cosecx⇒tan2x.cosecx       by pythagorean identity 1+tan2x…

Q: If sec A + tan A = x then sec A is? " 2 points x2 + 1 x² +1 х 2x Option 1 Option 2 x2 - 1 x? – 1 2x…

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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: 1. cos x 1 - sin x = sec x + tan x

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Q: 16. If 0 = arcsin x, express tan 0 in terms of x.

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Q: 2. Prove the following identities. = tan (x+2) 1tanr 1-tanx b) sin(π-x) - tan(-x) = sin2x c) secx =…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: ) Find the derivative of the following: a) sin (4x- 7x+ 3)

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

Q: x=cos¬! 1 prove that sec" X= cos

A: Given sec-1x=cos-11x

Q: I ne N,n> 2 ve tan" x dx Find a reduction relation for

A: Integrate by replacing thanx by t and reduce the In.

Q: 1+tanx b) 1-tanx = tan (x + ²)

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Q: 4. lim 3 sin (tan¹x)

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Q: 2. Show that cot x cos* x +C 4 cscx csc x | cot? x csc*x dx = - 6. 4 6.

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Q: |tan³xdx 1. cot*xdx 2. |sec*xdx хрх, 3.

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