4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

Q: 18 If csc(x) (in Quadrant-I), find 7 = s(2x)% = COS %3D

A: We have to find the value of cos2x.

Q: 3 4) Find / sin (2x) cos (2x)dx

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Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

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Q: y= 6. 30 18/3/2 Sin(8)= Cos(8)D Tan() = %3D Sin(A)-

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Q: 45. s 2 2 sin t -

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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: 1/12 cos 2x dx

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Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: */2 22. cos (r) sin (sin (x)) dr

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Q: 39) Find sin é. y 5 12 13' 13

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Q: (a) If = cos (2x), then y= xp (A)cos (2x)+C cos* (2x)+C (C) sin(2x)+C 2. 2. 2. (D) sin (2x)+C (E)…

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Q: 2. Sa cos x² da

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: If sin x= 1/3 and sec y = 17/15, evaluate cos (x+y)

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Q: If x=8 sec 0 (where 0<0<5), then 2 cos 0+4 tan 0 = ...

A: Given : x = 8secθ0&lt;θ&lt;π2

Q: 11m If 0 = 6. then sin(0) • %3D cos(0) =

A: Answer

Q: 13. Find the value of tan 0/2, if sin e=-4/5 and 0 in QIII. 1/2 2+V3 -2

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Q: 2+7 sin cos z zp-

A: Given: ∫2+7sin3zcos2zdz

Q: 7/2 S 3 cos (x) sin°(æ) dx =

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Q: 5. " cos (w) sin* (;w) dw -2n

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 41- 1 ST 5* x² cos cyldy dz dx

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Q: S 3. sin°ydy 1+ cosy

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Q: 2. 2 | sin xcos xdx

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Q: 19T If 0 then = sin(0) = %3D cos(8) = %3D

A: If θ=19π6We have to find sin(θ),cos(θ)

Q: 2. If 0° < 0 < 90° and cos 0 = ÷, find cos . O 42 V42 V6 6

A: Please see the answer in step 2

Q: dx Evaluate 6e* cos (3e *) O 2 [In |sec(3e-x) + tan(3e-|] + C In |sec(3e-M) - tan(3e-|] + C O -18…

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Q: 10 5. 18 Show work: trig ratio (sin, cos, or tan) of x = - trig ratio: = b'

A: Given data: *The hypotenuse of the right angled triangle is 18 units. *The side opposite to the…

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: π 2 00 sin³¹(0) cr S' 0 rdr dedz

A: We have to evaluate the given integral.

Q: 9 Find 0 if 0<0 < 2n and: d sin 0 = 1 h cos? 0 = i tan 0: i tan? 0 = 3

A: To find θ if 0 ≤ θ ≤ 2π  sin θ = 1cos2 θ = 12tan θ = -13tan2 θ = 3

Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2).

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Q: 3 sin 30 cos 0 d0 3

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

Q: 2. Find sin 2t if cos t and "<t<TT. 13 2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Question 4 (sin(3t))^2(cos31)) dt

A: To evaluate the integral ∫sin23tcos3tdt Formula used: Power rule of differentiation ∫xndx=xn+1n+1+c…

Q: c) cos (315 °) d) sin (-30°) e) cos (330°) f) tan (150°) g) sin (225°) h) cos (210°)

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Q: 2. Evaluate 2 sin1ºx cos0x dx.

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Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in quadrant II. 17

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

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

Q: Se sin 4m Cos 4mdm (3)

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Q: 3 3m 2. sin ---- sin(20) = b. cos(20) = a.

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Q: If sin y° =  9/c and tan y° = 9/d, what is the value of cos y°?

A: We know that, tan y°=sin y°/cos y°, So, cos y°=sin y°/tan y°.

Q: If y=(1+x²) tan-x - x then y' is equal to

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Q: 1-Show that a + B a sina – sinß = 2cos(,")sin(,"P) 2

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Q: 27. sin? ax cos? ax dx

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Q: 10. 4 COS dx 2

A: the given integral is: ∫cos4x2dx we have to evaluate the given integral.

Q: 24) y = Sin' 2x.Cos2x (ans

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Q: 5TT i sin' cos*dx 4x. 4x, 8. 5

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Q: Suppose that 3π/2≤θ≤2π,  csc(θ)=11/4, find sin(θ)=______. (round to 3 decimal places)

A: