Show that 7 sin? xdx L? cos? ædr I|

Q: If tan A =n tan B and sin A =m sin B, prove that cos A = m²-1 %3D %3D n-1

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Q: 3.) S(1 – sin?xcos²x)²dx

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Q: Find sin θ and cos θ if the terminal side of θ lies along the line y = 3x in QI

A: Given, The terminal side of θ lies along the line y = 3x in QI.

Q: Rewrite – 4 sin(r) + 4 cos(x) as A sin(x + ø) A = $ =

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Q: If r=In(sin2r), then dr is equal to

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Q: Find sin a. (-3, 4) sin a = [? r

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Q: 2+7 sin z 3. dz cos? z

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: + sin? x sec? xdx, 1.

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Gren that Sin ( 5x-38°)= (Cos (2x +I6") OSnS 90° find the value of

A: Given

Q: Evaluate; In (sin²s ) sin2xdx sinx +C 3 A sin?x B) +C sin

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Q: If sin x = A + B cos 2x + C cos 4x, then A = 2 B " с =

A: Since you have posted multiple questions we will answer first problem for you for remaining please…

Q: If x = 4 sin 0, then J csc2ede = %3D

A: Here, ⇒x=4sinθ⇒sinθ=x4 By using Pythagoras theorem, We will have remaining side of the triangle…

Q: So sin' z cos²z dr csc? z

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Q: Show that 7 sin? ædx L' cos? ædx

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Q: Evaluate sin(In æ) dæ .

A: To evaluate the given integral.

Q: PROVE THE GIVEN 2n sin? (V3 - 1) sin? 3 8

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Q: If sin a: 1 then sec a =?

A: We can solve this by using trigonometric identities . We can use the identity sin2α+cos2α=1 . By…

Q: d dz : (sin(-æ)) = (sin æ). %3D Select one: O a. False. O b. True.

A: The mathematical statement is given by ddxsin-x = ddxsinx

Q: Write 3 sin(t) – 4 cos(t) in the form A sin(Bt + ¢)

A: Given: ft=3sint-4sint multiply the above expression by, The expression 'f(t)' becomes,

Q: If z = 1+2j, Determine sin z

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Q: If sinx =and cosx > 0, find cot(2x). O 4V6 23 O 23 V6 24 O 15 O 23 V6 24 O 4V6 23

A: Given:     sinx=15 we know that              sin2x+cos2x=1             152+cos2x=1…

Q: Evaluate So (22 – 3x + 6) cos(r)dx

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Q: O Find the anfidanialtiner Sfaw da for fla)= 18 Cos (6x) 16- Sin? (6x) © fa) = ¿* (, +x) 9 + xe

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Q: Determine the value of sin t when t = 5π, -2π, 17π/2,-13π/2.

A: we have to find the value of sin t when t = 5π, -2π, 17π/2, -13π/2.

Q: 7 |sin? xdx 2 |sin? xdx 11 Ssin? xdx

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Q: PROVE THE GIVEN (V5 - 1) sin? sin? 3 8 II

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Q: If cos A=7/8  with A in QIV, find sin(A/2)

A: We have to find sin angle

Q: PROVE THE GIVEN 2n sin? 5 sin? 3 (J5 - 1) 5 -1) 8. II

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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: Show that sin (A + B) + sin (A – B) = 2 sin A cos B. -

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

Q: E sin i sin 98 cos 50 de

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Q: evaluate the integral.

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Q: r sin ³0 cos³ 8 do 3

A: Topic:- application of integration and trigonometry

Q: 2 sin- If p = cos -1 q, show that 4p? – 4pt + q? = 1.

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Q: Evaluate sin? xcos xdx .

A: To evaluate: ∫sin2x cos3x dx=∫sin2x cos2x cos x dx=∫sin2x (1-sin2x) cos x dx

Q: 1 2 L{sin?t}=| Select one: O True False

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Q: r = 12 sin 18ti + 12 cos 18tj

A: Given :

Q: Prove that, cos20 + sin?0 = 1

A: Let a, b and c be the lengths of right angled triangle. Then by definition,

Q: 5. Evaluate sin?(e3-/ 10378) +cos?(e3-T/ 1037r/8) =?

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Q: f cosece - sin0 = m and sec0 – cos0=n,Prove that „?n) + (mn²) = 1

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Q: PROVE THE GIVEN 2n sin? (V5 - 1) sin? 3 8

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Q: dr if r= cos(1+ sin@). de

A: Given that: The equation is r = cos ( 1 + sin θ ).

Q: To evaluate sin e de , factor sin³e as (sin²e) ² sin® and let sin²0 =-(1- cos20). A True B False

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Q: 5. Select all that are true. (xª)° = rab sin? 0 + cos? 0 = 1 V2

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Q: Find sin θ and cos θ if the terminal side of θ lies along the line y = 2x in QI.

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Q: If sin(A+B)=1 and cos(A-B)= V3 -,0B then find A and B

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Q: Exer. 51–74: Verify the identity by transforming the left- hand side into the right-hand side. 57 (1…

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Q: Prove Sin (A+B)+Sin (A-B)=2SinA.CosB

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