Question 9 Find tan'r sec?t dt A - tan²t+C B tun't + C tan" Isec*t +C_ an*r+C 4 D

Q: tan 0 + tan? 0 = sec* 0 - sec² 0

A: This question is taken from trigonometry in which we have to prove the given identity  We can write…

Q: tan? x sec² x + secx Prove -cos x

A:

Q: Exact ODE y'sin2nx-nycos 2rx

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Q: sin(2u) cos(2u) sec u c) sin u c u

A: We have to show that sin2usinu-cos2ucosu=secu We have to consider the left hand side of given…

Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: sec (tan-!1+ csc- 1)

A: Givensec(tan-11+csc-11)

Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: Sinß Tanß lim Sin 26 B-

A:

Q: 7/2 [sec¹ x tan³ x dx 4. 0

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Cot : 1/tan :: sec :

A:

Q: f'(1). et f(x) = 3x 6x-7 Find f'(x).

A: Given query is to find derivative.

Q: f(seca tan a – 8a")da tan a + a° + c sec a +a8 +e - sec * – a8 +c sec a – a° +e sec a +8

A:

Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

A:

Q: a-X Tan" 1+ ax Differentiate

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Q: sin 0+ sin 0 tan 0 = tan 0 - sece

A:

Q: an^-1(tan(4))

A: Giventan-1(tan(4))

Q: sec^2 x + tan x = 1

A:

Q: | sec? u du = tan u + C

A: Topic- integration

Q: 5. (a) 1 6. (a) The amplitude of the function y=4sin(x+ë)+1_is (b) 4 (c) 5 The horizontal…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: sec(tan- v)tan(tan-'vkiv 1+v an (tan

A: Perform integration

Q: sketching y = 2 – tan(,")

A: Given query is to find the value of a, b, c, k and the period.

Q: sinx Show that -dx= sin x +cos x 4

A:

Q: Using the equation below at angle of 45 degrees, find T^-1

A: Here, the angle is Here, given that,

Q: If a>0 is a constant then sec (ax) tan (ax) dxD

A: Assume sec(ax) = t,

Q: d (i) Show that (2 dx -1 X 3x x tan 3 = tan-1* 3 x2+9 V3 i) Hence evaluate (tan dx . 3

A:

Q: Use a plot to argue that tan(x) is not differntiable at +or- π/2. b) Use the fact that d/dx…

A: In the following, we have proved that tan(x) is not differentiable at +or-  π/2.

Q: (cot. 1)dr sin I cot z/3 cot?

A: Substitute t2=3cot2x-5 So, tdt=-3sin2xcotx dx and cot2x=t2+53 cot2xdxsin2cotx=-13t dtt2+53dxsin2x…