01 4. sin e= sin 0 - cos 0 sin

Q: 40.3 20 35 What is the sine ratio for z6? 35 O sin 0 = 20 35 O sin 0 = 40.3 40.3 O sin 8 = 20 20 O…

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Q: /49-x² dx when converted to e is 7 sin ? 0 cos' 0 de

A: Proper substitution is needed to check it

Q: 1.19. Evaluate the expression. a) sin [sin-1 (1) ] b) sec [sin-1 (1) ] c) sin [arctan ]

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Q: 15. Find dr/d0: r = 4 – 02 sin 0 a. 20 sin 0 –02 cos 0 | b. 0 cos 0-02 sin 0 O sin e – 02 cos 0 С. a…

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Q: |16 sin?x cos?x dx

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Q: :L cos 1 di cos t

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Q: (주) X X Evaluate: " sin' cos* () d 4

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Q: Evaluate the integrals

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 41. | sin &r cos 5x dr

A: This integral can be done by using the trigonometric formula In the given question a=8x and b=5x…

Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

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Q: 4. 2 sin e cos e - cos e 1- sin_e + sin?e- cos? e

A: (2sinΘcosΘ -cosΘ)/(1 - sinΘ +sin2Θ -cos2Θ ) (cosΘ)(2sinΘ -1)/(2sin2Θ  - sinΘ ) cosΘ(2sinΘ -1)/(sinΘ…

Q: Suppose that sin(a) = 4/8 and cos(b) =3/8 define in the first quadrant, determine sin(a+b). (round…

A: We have the relation,                cos2x+sin2x=1   If sina=48= 12                 cosa=1-sin2a…

Q: 2 sin@ cos e-13 sin e= 0 %3D

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Q: K|N sin cos 60 de

A: Given: ∫0π2sin8θcos6θdθ To find: evaluate the given integral. This is a problem related to…

Q: W (1, sin x, cos x) (А) —2 (В) 2 (С) —1 (D) 1 (E) None

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Q: W (1, sin x, cos x) =

A: Use formula for the wronskian is determinent form.

Q: 20. sin? x cos? x dx

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Q: 32. What is e in the equation sin (e- 20°) = cos (20 + 5°)? а. 150 b. 25° c. 35° d. 75°

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Q: c) Verify the identity sin 0 1+ cos e 2 csc 0 1+ cos e sin 0

A: We take the RHS and simplify it and verify if it is equal to the LHS.

Q: (b) If (20) = 3/5 and 0<o<T/4, find the values of i. sin (20) Cos ii, cos () iii. sin (0)

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Q: Sంబు ఒపా వింద ఇ + పిల్లయ 2-Sin LA Sin A tos A Sin A t cOS A 0.

A: Given : (2sin³A + 2cos³A)/(sinA + cosA) = 2 - sin2A

Q: 1-sin e 5. r2 cos e dr de

A: According to question∫0π∫01-sinθr2 cosθ dr dθ

Q: ) Let Sin x = -12 13 X in quadrant II , and siny=21 Y in quadrant I. Find al Sin (x +y) b) Cos (x-Y)…

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Q: 3 sin 30 cos 0 d0 3

A: Given:         ∫0π3sin3θ cosθ dθ    Use the following identity…

Q: 18. r = 0 sin 0 + cos 0

A: The given equation is: r=θ sin θ+cos θ

Q: 10. Evaluate. (d) sin-1() (e) sin¬1 (sin (7)) (f) sin- (cos (E) (a) sin-' (0) (b) cos-1 (-) (c)…

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Q: 13:49 4 Screen. 34 (C) If y = sin 2x + cos 2x , then (y,)o =? ans. none PAE sin+ COs 2

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Q: #11 Find tan (A - B). 3 cos A = 1 sinB = < A< T 2 B<T 2

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Q: 12) Evaluate sin2r cos(sin?s) d . |dx .

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Q: 17. x= sin t and y = 2 – cos´ /

A: Given: x=sin ty=2-cos2t

Q: 7/2 sin 0 cos (cos a cosec 0) d0 ||

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Q: dx = ? 4 sin x – 3 cos x+5

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Q: d (sin(0) cos(0)) (a) do

A: Please refer the attached image for complete solution.

Q: (ax) +k sin (ax) dx ka +sin (ax) а cos Evaluate e

A: On solving this integration we will get

Q: Suppose that sin(a) = 4/5 and cos(b) =4/7 define in the first quadrant, determine tan(a+b). (round…

A: Given, sin(a) = 4/5 ------equation 1 cos(b) =4/7 ------equation 2

Q: Solve the following . (a) /; sin x dx cos? x 2 (b) /| -] dx sin x x + 2

A: To evaluate the given integrals: a)∫sinxcos2xdx  ∫sinxcos2xdx On simplifying further we get:…

Q: 4. Determine the value of sin 56° to four decimal places. C. 0.5218 a. 0.2736 b. 0.3115 d. 0.8290

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Q: 1. Evaluate: sin (x) cos? (x) dx.

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Q: 29 yn C ini n0 Ca 22. Evaluate cos-1(sin ). 16 h cowor

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Q: (1/2 sin e cos 1 (cos a cosec 8) de (1-cos a ||

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Q: 10. (r + sin e - cos e) dr + r (sin e + cos e)d e = 0

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Q: .053 + 2.042 e(2.155+1.648/)t cos( sin( %3D

A: We expanded the exponential as euler formula

Q: 2. cot 20 = Csc8- 2 sin e 2 cos 0

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Q: 27. sin? ax cos? ax dx

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Q: B) If E-o(sin x)2" 2 tan x then find the value of x. 00 %3D

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Q: 28. Im (0.5eš) = a. 0.5 cos- b. 0.5i sin 5 sin d. 0.5 sin с.

A: since, 0.5*e^(pi/5*i) =0.5*(cos(pi/5)+isin(pi/5))  Implies…

Q: 6. sin A = cos A tan A

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Q: S sin? x dx Evaluate 1+cos x

A: ∫sin2x1+cosxdx