2n e"lao cos² 0 r,? dr sin@d0 $ do = x X = ? 32 παρ

Q: 3.) S(1 – sin?xcos²x)²dx

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Q: .4 || (cos²e + sin?e) dp dz de 8 2(0*cos?8 + p*sin?e) p dp dz de

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Q: If cos (x +) + sin (x- ) = A, then the number A is equal to А. —2 В. — 1 С.О D. 1

A: compound angle formulae of trigonometry.

Q: Given that " = n, sin (x) dx 3 -T, what is 8 sin (0) de?

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Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

Q: 4 sin? x cos xdx

A: Explanation of the solution is given below..

Q: 12. Given 0 <0 < 2x, solve 2 cos? 0+3 sin 0 = 3. %3D ○ 등, 똥 ) 플, 풍, 풍 11T ○ 풍,풍 ○ 들, 등, 똥

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Q: dx. sin(2x? + 1) Evaluate In|csc(2a? + 1) –- cot(2a² + 1)| + C 4 O - cos(2x? +1) + C O 4 ln|csc(2a?…

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Q: What is the value of 1/2 x(3 cos(x) + sin(x))dx ? -7/2 Give your answer as an integer or as a…

A: Topic:- integration

Q: COs 0 , where r<0< 4 tan 8 =, where 0 <B< What is the exact yalue of sin (A i An

A: Given,            cosθ=-34, where π≤θ≤3π2            tanβ=34, where 0≤β≤π2To find : What is the…

Q: 11. What is the general solution, in radians, to the equation sin 2x +2 cosx = 0? A. TT + -n, where…

A: According to the question, we need to determine the general solution of this trigonometric equation.…

Q: S"cos(In x) dx=D? Hide answer choices A 1/(cos 1) B) sin(e) c) 1/(sin 1) (D) sin 1

A: Let's find.

Q: How can we find x using SohCahToa? sin 34 = %3D y cos 34 = tan 34 = 34°

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Q: O E sinødø The is equal to cos+Ø tan3ø + C А. sec?Ø В. + C 3 sinØ С. +C 3 cos'Ø D. + C 3 E.None of…

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Q: Reduce to the form a + bi: a. sin (-i); b. cosh (1); С. cSc (1 + i); d. sinh (3 + 4i)

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Q: A 3. If sin(0) = 0.788, then what is the approximate value of csc(0)? %3D O 0.212 O0.788 1.269 O…

A: We can find the value of csc (θ) by using the following formula. csc (θ) = 1sinθ

Q: sin? 0 2) cos 0 = sec 0- cos e %3D

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Q: T/4 cos(8) 5r* sin(0) dr de

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Q: 3. Given 0 < 60 < 2n, solve 2 tan 0 + sin 0 cos 0 = 0. %3| 0, п O 5, * 2.

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Q: e. cos 20 + 14 sin? 0 = 10 over [0°, 360°)

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Q: (a) sin(e/2) (b) cos(e/2) (c) tan(8/2)

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Q: 2х я 3 sinф p? sin o dp dp dO. 0 0 0

A: Given data:     The given integral is: . Evaluate the value of the given integral.

Q: r = sin 8 +2 cos?e

A: The given equation is r=sinθ+2cos2θ. Note that r=sinθ+2cos2θ is a polar curve.

Q: a) Express 16sin 0 in the form a sin 0 + b sin 30 + c sin 50 , where a, b and c are constant.

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Q: 1 -³ e"/ cos? e ,? dr sin@de ý do = x 32na X = ?

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Q: 3 sin 30 cos 0 d0 3

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

Q: -2п a) cos 3 b) cot 45° 3 с) у%3D sin-1 /2 d) y = arccos 2.

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Find fo, fe fe if fp.0,4) p cos sin 0 %3D

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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: 2) Find f' (=), f" (A), f" (E) given f (0) = sin 30 cos 0

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Q: sin" e de, (b) Given that In %3D Show that forn 2 2, n- In-2 %3D Hence, evaluate I5.

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Q: If sin A = 3/5 with A in QII, find the following. Express your solution as a fraction.      a. cos…

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Q: Given 0 < 0 < 2T, solve cos? 0 = 1 – sin 0. - ○ 0, 플, T, 플 2 2 ) 工,T

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Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: 4 5. "sin? 4y cos? 2y dy

A: Substitute y=u2,dy=du2. ∫0π4sin24ycos22ydy=∫0π212sin22ucos2udu…

Q: b. sin? () = 2 over [0, 2n) %3D

A: EXPLANATION

Q: /2 sin'e cos'0 de

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Q: fe = then 4 sin(0) = cos(0) - alues desimale alle wod!

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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: Given that w = cos +i sin 7 find the value of 7' - 7 II2 – w). | j=1

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Q: Tt/2 2 sin(2x) dx 4– cos(2x)

A: The solution is:

Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

Q: 15. (D? + 1)y cos x. y = c, cos x + c2 sin x + x sin x. ANS.

A:

Q: 3 and t <Os, then sece is equal to: 5 37t - 1. If sin 0 - 5 a) 4 4 b) 5 4 c) -

A: Given:  sin θ = -3/5     π ≤ θ ≤ 3π/2

Q: Given that sin(a) = and cos(b) 5 with a %3D 4 sin(a + b) = %3D cos(a - b) = %3D

A:

Q: 2. sin 8 = 42 P(0) is in the second quadrant

A: Given θ lies in the second quadrant We know that sinθ , cosecθ are positive in the second quadrant…

Q: E The alternating current in an electric inductor is | =5, where E is voltage and Z = R+X_i is…

A: Given that : R=6 and XL=2 ⇒Z=R + XLi=6+2i Now,  E=5(cos 500+ i sin 500)= 5ei 500=5e0.872i

Q: Solve for cosa in sin?g + cos?e = 1. 1/csco ±V(1 - sin ²0) O+V(1 + sin 20)

A: We can find the answer as below.