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

Q: 8. 4 sin(at +b), where a and b are constants.

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Q: 6. Find h' (÷) , h" (), and h" (G), given h(r) = sin r cos 3r.

A: since you have asked multiple questions in a single request so we will be answering only first…

Q: Find dr/dθ in cos r + cot θ = erθ

A: Differentiate both sides with respect to θ

Q: following function: 1 + 4+ sin a p(x)

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Q: Express the given quantity in terms of sin x and cos x.

A: Express the given quantity in terms of sin x and cos x.         cos3π2+x

Q: Q4/ Find the value of the following: cos (tan-1 1) 1) sin (sin-) 2) 3) tan - (cos n) 4) cos(sin)

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Q: Find A°, where (cos(7/5) -sin(T/5)) A = sin(T/5) cos(T/5)

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Q: 2. If tan 0= x2, which of the following is correct? Defend your answer. a. cos 0 = 1/V(1+x^4) b. sin…

A: The solution for the above question is as shown below

Q: What is (sin(x))? How about (cos(x))? d17 d42 dx 42 COS(x 1

A: To determine:                           d17dx17sinx: Now, We know that the 'derivative of sin x  is…

Q: 2. If tan 0= x2, which of the following is correct? Defend your answer. a. cos e = 1/V(1+x^4) b. sin…

A: As per the guidelines I can solve only one question

Q: 20. sin? x cos? x dx

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Q: Suppose m and n are constants and m #n. Evaluate [sin (mx) cos (nx) dx.

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Q: 1. S dr 1+sin a+cos a

A: The solution is given below in the next step:

Q: In the interval 0 <z< 2n, for what value of x does sin a = cos x? and 4 4 only 4 and 4. 4. - only…

A: sin x=cos x implies tan x=1

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: Evaluate va 3 cos a sin x dx. + C

A: To find: The value of integral ∫cosxsin3xdx. Formula used: The trigonometric relation is…

Q: 3. Mark was tasked with finding the exact value of tan(x+y) given that sin x = where -<x n and cos y…

A: Given that, sinx=725  and cosy=45

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: 4. Evaluate the following in terms of Gamma function sin (4r) cos (2r)dr

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Q: .... 2. .... 10 .... 50 Show work: trig ratio (sin, cos, or tan) of L = trig ratio: =7°

A: tan 50∘=pq Here, p represents opposite and q represents adjacent. p=x and q=10 Substitute the value…

Q: Q1/ Answer the following: (a) Show that sin-x + cos-1x = " 2 x(x-y) (b) Find the value of tan-1…

A: Note: "Since you have asked multiple question, we will solve the first question for you. If you want…

Q: dx 4. Evaluate cos? ' x (tan x + 1)

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Q: Which of the following is(are) true? (Choose all applicable answers.) O coth x = e +ea -e-x cosh x =…

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Q: 4. Which of the following functions has the largest period? a. f(x) b. f(x) c. f(x) = = = sin(2x…

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

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Q: If f(1)=3, f(1)=1,g(x)=cos x, and h(x)=[{x)]/[g{x)], then what is h'(1)? Round to the nearest…

A: To find h'(1)

Q: Find ?f if ?″(?)=2+cos(?),?(0)=1,?(?/2)=−8.f″(x)=2+cos⁡(x),f(0)=1,f(π/2)=−8. ?(?)=

A: To find- f(x)

Q: 9. 3 cos(wt –@), where w and a are constants.

A: We use first Cos(a-b)=cos(a) cos(b)+sin(a)sin(b) and then we use Laplace transform of…

Q: Find the value of the trig function indicated. 2) tan 0 1) cos 0 8V13 12 16 24 16 20 4) sin 0 3) sin…

A: From the diagram Opp = AB  Hyp = AC , Adj = BC sin θ = opp / hyp = 16 / 20 = 4/5 sin θ = 4/5

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: S= dx 3+ sinx+cos X

A:

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

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Q: sin (mx) cos(nx) dx

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Q: 1 Find cos(s + t) given that cos s=- with s in quadrant I, and sin t= - – with tin quadrant IV.

A: 1.Cosine Sum Formula:- Cos(x+y)= Cosx*Cosy-Sinx*Siny 2.Sine function is positive in 4th quadrant.…

Q: Suppose m and n are constants and m n. Evaluate sin(mx) cos(nx) dx

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Q: Find the smallest number x such that cos(e^x + 1) = 0

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Q: with B in Q3 find sin (A B). 13 with A in 0l and cos B

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Q: Find the exact value of each of the following under the given conditions below. V3 <a<t; cos ß= ,…

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Q: 51. Compute x² _ and then using the identity dx in two ways and verify that the answers agree: first…

A: Assume the given integral be I. I can be integrated via trigonometric substitution by substituting…

Q: 513 Find for the function y = cos² 3X + √Sin x

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Q: express the given quantity in terms of sin x andcos x. cos (π + x)

A: Given expression is cosπ+x. To express the given expression in terms of sinx and cosx. Solution: We…

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

A: ∫sin2x1+cosxdx

Q: D let cOs x ) and cos x lies below the x axis e Find sin(2x), cos(2x) and tan (ex). ) Proof the…

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Q: e* +cosx+sin.x– 2 3. lim xsin' x

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

Q: 9 cos `x sin x dx

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

Q: sec x + coOS x dx 2 cos x

A: To evaluate

Q: a) Sinh 3t cos't

A: Since you post not connecting 4 questions as per our guideline we solve only first question for you.…

Q: Compute the indicated sin α = 15 17 cos B = cos = (a) (b) - 4 5 quantity using the following data.…

A: