Differentiate the following: 1. sinocose 2 csce -coto tan@sece 3 (cos 0-1)0

Q: Determine the period of the sinusoidal function y = 0. 75 cos 7x – 0. 5.

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Q: Explain how to find ∫ cos15 x dx without actually integrating.

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Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

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Q: 11. y = sin 12. y = cos*(-) 13. y = arccos(-) %3D 14. y = arcsin (- 5

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Q: 0 = µ sin 0 – sin 20

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Q: • y = sin¬(10x) %3D

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Q: Differentiate. cosx² + siny³ = 36 %3D

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Q: 3 Evaluate: cos Arcsin ) - Arccos (-I COS 2 O Võ+v2 4 O -V6+v2 4 O v6-V2 4 O -V6-v2 4

A: The given expression is cosArcsin22+Arccos-32. We have to find out value of the given expression.…

Q: Let y = cos(arcsin 8x). Rewrite it as y = cos 0, where 0 = arcsin

A: y=cos(arcsin (8x))   ------------equation 1now y=cosθ  -----------------equation 2by comparing…

Q: 3) If the velocity of a particle moving along a line is given by v(t) = cos = COS 2t), which…

A: We have to find the position expression from the velocity function.         According to our…

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: Differentiate implicitly cos(x³y³) = 9

A: Given,         cosx3y3=9

Q: Half the distance between the maximum and minimum y-values of a sine or cosine wave is known as its…

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Q: Pind yl with im Picit differentir tion Cosと+ Sinxニ)

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: rĩ sec² 0 (e) tan 0 do. Vtan 0

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

Q: 38. Differentiate y = 2 cos² - a. – sint b. - sin 2t C. - sin - d. sin-

A: Differentiate y=2cos2t2

Q: If y=sin(sinx) show that y''+(tan x) y'cos2x=0

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Q: Evaluate dy/dx at the point (π/2, π/2), if 2 sin^2 x + 1/2 cos y = (3 sin x)^11 . Mention all…

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Q: Find y': y = ar cos

A: The given function,  y=ar cosx3

Q: Show that x² + 1 cos{arctan[sin(arccot x)]} = V x² + 2

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Q: Show that Cosx dx 9- Sin 3D

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Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: - y = sin² (-1) y = cos" - y = arctan 0

A: This question is based on general solution of  Trignometric function.

Q: Write the equation of the line tangent to the graph of r : 4 cos 0 when 0 = ". %3D %3D

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Q: Differentiate cos cos" Vi-x? y = ecos

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Q: Describe the thans formation and tan Station by rephesented by the Pquatlon 9= -2.5 Sin (x - 13.4°)…

A: y=-2.5sinx-13.4°-0.6To describe the transformation and translation

Q: Show that cos( arctan( sin( arccot(x)))) = sqrt{{x^2+1}/{x^2+2}}

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Q: Subject find derivatines of the first derivatives in volving differe and questients? 4 %3D COSX tanx…

A: Derivatives of function

Q: Differentiate y = sin 20 cos 20

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Q: use Eq. (8) to find dy/dx at the given point.  (sin 2θ , cos 3θ ), θ = π/6

A: Solution:Given   (sin2θ, cos3θ),     θ=π6To find dydxFormula:ddxsin θ=cosθddxcos θ=-sin θ

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

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Q: The integral O cose de 1-sine sec²0 de 1+ tan sece tane de sece - 1 S sine de 1+ cose x dx can be…

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Q: Calculate ∫9sin^4(x)cos^2(x)dx

A: Given: ∫ 9 sin4 x cos2 x dxFormula: cos2 x = 1-sin2 x…

Q: DO NOT include spaces in between characters. * and csc 0 <0, find sin 20. 3 Let cos e

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Q: Why is V /5+ 5 tan² 0 = v5 sec² 0? Because Vtan 0 = sec 0 Because 1+ tan² 0 = sec² 0. • Because sec?…

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Q: S cos3 x sin* x dx

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Q: Show that cos(arcsinx) Vi - x², for x| s lin two different ways.

A: Show that cosarcsin(x)=1-x2, for x≤1

Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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Q: Show that tan(arccosx) for |x| s 1, x + 0.

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Q: Find at the point (5, -1,5) where z is defined implicitly by the equation y°z + x cos z = z sin x.

A: Differentiate both sides partially with respect to y

Q: Particular Intecral for the differen tial equation (0+0ly=Sin k is given by . * COSX * Sinx Sinx D0.…

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Q: Differentiate. Simplify where possible. y = arctan(cos 0)

A: Given : y = arctancosθ

Q: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +

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Q: 1-Show that a +B sina – sinß = 2cos(- 2 a -B

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose that π/2≤θ≤π, sin(θ)=2/9, find cos(θ)=______. (round to 3 decimal places)

A: Here, θ is in the second quadrant( π/2≤θ≤π) and cosine is negative in the second quadrant.

Q: If sinx = siny = a and cosx = cosy = b,then cos(x-y) is

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Q: 04.) Show that y = (sin x +cos x) sec x = sec² x

A: Given inequality does not equal. See the attachment