Prompts Submitted Answers Se'sin(e")cos(e")dx Choose a match a eu +C Sxe*cos(e*)ax a un+1 + C n+1 a sin(u) + C 5xdx 4+3x2 sin' S Зах 7-6x +3x2 a In(u) + C 5xdx 7-x2

Q: (글콜) (콜을) (0,1) (플플) (물) 120 3 60 135" 4. 45 5m 150 6 30'금 (-1,0) (1,0) OF0 180, 210 11a 330. 6 7m…

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Q: Show that A" cos (ах ah + b) = | 2 sin cos a + bx +n (ah + T 2

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

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Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: fOo)=Sinx-41 Cos x 1X-1 cos X (x)

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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: cosx dx sinx +1 * Evaluate (A) none of these sen + In|sinx + 1| +C B © e - In|sinx +1| + C 1 ·+ C…

A: According to the problem, we have

Q: s Sinx Cosy 1-Sin" x elx

A: To evaluate the given integral.∫sin x cos x 1-sin4 x dx

Q: 8. If sinx = , x is in quadrant II, then the value of cos2x is %3D 17 b) -161 30 161 353 a) 289 c)…

A: Given : sin x = 817 x is in quadrant II.     To find the value of cos 2x.

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: S(csc x cot x + 4x³)dx csc x + x* + c 4 - csc x x4 + c - Csc x x4 + c - O cot x + x4 + c csc x + x +…

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Q: Cosx 1+sinx 11. 1+sinx 2secx 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: Evaluate f æ° sin (ax²) dx оа. sin (az²) 2a2 z cos (az?) 2a +C b. sin (az?) 2a2 sin (az²) z cos…

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Q: sin( 2 tan-1 (x/ 12)) = Select one:

A: Can solve the given function by using double angle formula

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: sin- a. b. undefined cos(-210) C. Cus270 tan450 d.

A: sin17π6=cosπ2-17π6=cos-7π3=cos7π3=cosπ3=12        cos-210∘ =cos210∘ =-32

Q: sin(2x) 2+ cos(2z) da ++

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Q: (cos A + sin A)/(cos A - sin A) = (1+ sin(2A))/ cos(2A)

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Q: Multily    (a) (a+b)  2 (cos theta - sin theta ) 2

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

A: Definite integration

Q: 1-) 2csc23x 1-S sec3xVsin3x

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Q: Prove sin(x+y)cos(x-y) = sinx/secx + cosy/cscy

A: I hope this can help you.

Q: sin' x Evaluate : dx (1+cos x) 1+ cos x+ cos* x 1+ cos x)1+ cos x+cos cos' x

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