15. Using the identities, find cotx and secx if sinx = 1/4 and cosx > 0. %3D

Q: find the four non zero terms in the maclaurin serise for sin h-lx

A: Formula Used: We will need following binomial expansion:

Q: 3. Find the value of sin(2x) given that sin x = and x is in QII.

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Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

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Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A: Given: The limit as limx→0tan27xcot11xx+72sin x. To find: The main aim is to find the value of the…

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

A:

Q: If sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

A: Given sinx-cosx=15Squaring the equationsin2x+cos2x-2sinxcosx=125

Q: Find the approximate value of cos (sin(-0.44). cos (sin -1(-0.44) = [ (Round to four decimal…

A: We will find the approximate value of cossin-1-0.44 in the following step.

Q: s Sin'2o Cos 20 do

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 6, x in Quadrant IV %3D…

A: Given, sec(x) = 6,    x in 4th quadrant

Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

Q: 7 Express cach of the followir giving only principal values: (a) sin (2 – i)

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

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Q: 3. If cos x = -, find sin(2x) given sin x < 0. -3 O O

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Q: Find sin(2x), cos(2x),and tan(2x) from given information. sex(x)=6 , x in Quadrant IV • sin(2x) =…

A:

Q: Find sin(2x), cos(2x),and tan(2x) from given information. sec (x)=6 , x in Quadrant IV • sin(2x) =…

A: As per the given data we have: sec(x)=6    ⇒    cos(x)=16

Q: Use Simpson's rule with n = 6 to approximate (2)soɔ cos(z) -dz Preview Keep at least 2 decimal…

A: Given ∫15cosxxn=6

Q: If cos A %3D with A in QII V10 Find tan 2A. HIN

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Q: 3. Are reduction formulas needed to evaluate sin x cos? x dx? Why or why not?

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Q: 5. If coshx = csc20, prove that 0 = n+ cothe¬x. [Hint: use identity sin(2a + 2n)]

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Q: 6). S sin 20 cos 50 de

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Q: 9. Express tan 0 in terms of sec 0 for 0 in Quadrant II.

A: We know that, sec2θ=1+tan2θ So sec2θ=1+tan2θtan2θ=sec2θ-1tanθ=±sec2θ-1 But given that θ lie in…

Q: 19. Solve for x:x = (tan e + cote)² sin?e - tan?

A: Given that: x=(tanθ+cotθ)2sin2θ-tan2θ

Q: 3. Determine the values of 0 if 0 < 0 < 2n_given that cosx = – 0.3178. Explain your process.

A: Given query is to find the measure angel.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

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Q: Determine the value of  tanz if sinz + cos z=0.2 and pi>z<pi/2

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Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

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Q: 8. Evaluate sin (x) cos(r)dr using an appropriate substitution.

A: here  we use the formula  ∫(xn)dx=xn+1n+1+C     according to our guidelines we can answer only…

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin x tan 2. Given the…

A: We can solve the given problem as follows:

Q: 2) Verify. cot8 ese 6 %3D sin 6 tan 6

A: Use the following identities:

Q: Use Simpson's rule with n = 4 to approximate cos(r) -dx Keep at least 2 decimal places accuracy in…

A:

Q: ☺ Find tue indefinile intgrel. cos (5@] do

A: ∫un du = un+1n+1+C ; where, 'C' is an integration constant.

Q: .2 Determine the value of sin x + cos x for x = 30 degrees.

A: The given expression sin2x+cos2x for x=30 degrees.

Q: 35. Use property IV of Appendix A to verify that 1 L'{arctan(a/s)} =sin at

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 6, x in Quadrant IV sin(2x)…

A: Answer and explanation is given below

Q: Evaluate 1 cos²x 1 cot x -)dx sin x

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Q: 24 and cos(x)= 25 7 what is the vaule of tan(x) 25 If sin(x)= ? z,

A: According to the tangent identity, tan(x)=sin(x)cos(x). We know the value of sin(x) and cos(x), so…

Q: In=5 dx Sin^ (x) ( ategrate by parts for findu the Yreduction form (11) by using (i) find In and…

A:

Q: S cos3 x sin* x dx

A:

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: 4. As 0 increases from 90 to As ð increases for 180 to 270 degrees, describe the value of Cosine…

A: here we discuss the , some degree to describe the value of cosine and sine over the interval . cos…

Q: Recall that cos 'x = arcas x. find %3D 1/2 X sin(cou-x) dx

A: Answer

Q: 15. Evaluate | sin° x cos xdx 3

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Q: Use Simpson's rule with n = 4 to approximate .3 cos(x) Keep at least 2 decimal places accuracy in…

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Q: 5): Use 7 points weddle rule to evaluate 5/2 Sin x dx using 6 digits accuracy...

A: 5. Given,          ∫0π2sinxdx=

Q: Find the area between the two curves for a = 13. %3D ,ra+ sin20 P= sin20 (Use symbolic notation and…

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Q: Particular Intecral for the differen tial equation (0+0ly=Sin k is given by . * COSX * Sinx Sinx D0.…

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Q: 16. S cot xdx /1 + In sin x

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Q: Find given sin(3x)cos(x). dx

A: Derivative of y = sin(3x)cos(x)

Q: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

A: Given: sin7π12, cos7π12 We know that sinA+B=sinAcosB+cosAsinB…