tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

Q: Calculate cos(x) cos(y) + sin(r) sin(y) if x - y = 1. 동 0-호 ㅇ를

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Q: COS X sin' n - Show that for n > 2, | sin x dx sin"-2x d.x n Use this to find sin x dx.

A: ∫f(x).g(x) dx = g(x).∫f(x)dx  -  ∫g'(x)∫f(x) dx   where f(x) is second function and g(x) is a first…

Q: ELIMINATION OF ARBITRARY CONSTANTS 1. y = x² + Ae²x + Be3x 2. y = C,e*cosx + C2e*sinx

A: The solution for the asked question,question no.2 ,  is given as

Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

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Q: Q4) Find y" + 2y' + 5y where y cos(1/secx)

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Q: Approximate, to the nearest 10', the solutions of the equation in the interval [0°, 360°). (If there…

A: Consider the equation

Q: 3- If √secx + 5cosx find y

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Q: sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1…

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Q: (sin x - cos x )² + 2cos x sin x

A: To simplify trigonometric expression

Q: sin(20) 0 = /-

A: When theta is between 0 to 360 degrees, then 2theta is between 0 to 720 degrees. We use sin inverse,…

Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

A: Part (d),Given,Sin(sin-10.8)

Q: Determine the equation of the curve whose tangent line at any point (x, y) is ex - sin x and passess…

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Q: 2 + sin x Differentiate Y x + cos

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Q: 3. V2 C T. V2 V2 3 10. sin B =[Select ] 11. cos B = [ Select ] 12. tan B = Select] - -13

A: Trigonometric ratios

Q: sin x(cos x-1) 8. Prove sin(n -x) – tan(t + x) | COSX

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Q: tan 2x sec 2x dx Evaluate cos 2x O 1 ,tan 2x e + C 2 2 e tan 2x + C O -2 e sec 2x + C 1 ,tan 2x + C…

A: ∫etan2x sec2xcos2x dx=∫etan2x sec2x sec2x dx     ∵secx=1cosx=∫etan2x sec22x dx Now put,…

Q: 21 csc' x 8. - (csc' x-1)" dx (simplify: cot' x+1= csc² x) 1 +C = tan"(x)+c ans : %3D 21 cot“ (x)

A: you can clearly understand if you follow the below solution

Q: Š 4 sin(3t) 2+ cos(3t) 7 sin(3t) + dt (2+ cos(3t))²

A: Definite integration

Q: 1 + sin x Differentiate y = x + cos x

A: As we know that: The Quotient rule: fg'=f'·g+g'·fg2 The Power rule: ddxxn=nxn-1 Given:…

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

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Q: Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' =…

A: ycos2a+ysin2a=cosa+372

Q: sin x= 6/7, cos > 0, sin y = -1/5, and cos y < 0 How do I find sin(x + y), cos(x + y), and tan(x +…

A: Given that  sinx=67, cosx&gt;0,siny=-15and cosy&lt;0. We know that…

Q: I+ cosx+ cos 2x (ii)Show that sin x+ sin 2x tan 20 - tan 0 = tan 0 sec20 cotx (iii) (iv) (cose -…

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Q: Which of the expressions below are equivalent? Which are not? Explain. i. sin '(x) ii. csc(x) iii.…

A: It is known that sin-1x can also be written as arcsinx.

Q: i) etan-¹x 12 1 + x² dx ii) ii) sin sin5 x dx

A: Solve the following

Q: 1+tanx b) 1-tanx = tan (x + ²)

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Q: tan? x – cot2x = sec2 x – csc? x - tanx-sinx = 1- cosx tanx

A: To prove :- 5.tan2(x) - cot2(x) = sec2(x) -csc2(x)  6. (tan(x) -sin(x))/tan(x) =1-cos(x)