14. Find the exact value of sin(-) if cos(r) 1 and 270° < x << 340°. ii) ii) - 2 iv) not listed

Q: Eliminate n from their equations  X= sin n + tan n and y=sin n - tan n

A: With the help of trigonometric identities we eliminate n from the equations.

Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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Q: Let sin s=--, with s in quadrant IV and let cos %3D II. Find cach of the following. 4. cos (s +1) 5.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3 Find sin 2x, cos 2x, and tan 2x If cosx= and x terminates in quadrant II. sin 2x cos 2x tan 2x

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Q: 4 Suppose that sine = and <0<. Find the exact values of cos and tan Cos Undefined tan Continue O

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Q: Find sin 2x, cos 2x, and tan 2x if tanx= and x terminates in guadrant III. 3

A: To find the value of sin (2 x), cos (2 x), and tan (2 x).

Q: Show that 2 sin 0 + sin 20 sin 0 1- cos 20 1 cos e Prove that (G) 1 T 1 tan-1 + sin V5 3. where…

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Q: 4) Find the exact value of sin 420 cos 12°- cos 420 sin 12°

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Q: Show that (1-)dy+(cos xsin x-sy")dr =0 is an exact equation. Hence, find its general solution. Hint:…

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Q: 4 Suppose that sin e -and <0<1. Find the exact values of cos 2 and tan 2. Cos 2. = D tan, 2) %3D

A: As we know sin2θ+cos2θ=1. cosθ=1-452=1-1625=-35 Using Double angle formula: sinθ2=1-cosθ2=1+352=810…

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: 12 "2 If Y= \n(Sinae), Prove y =y=- ノ

A: Here, the given function is: y=ln(sin x) So, y'=1sin x(cos x)=tanxy''=ddx(y')=ddx(tan x)=sec2x

Q: 12 Find sin 2.x, cos 2x, and tan 2x if sinx= and x terminates in quadrant II. 13 sin 2x cos 2x tan…

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Q: If x = Cos0 + Cos 20 and y= Sine+ Sin 20. Show that : i) x'-y' ii) 2xy Sin 20 + 2 Sin30 + Sin40 Cos…

A: To show that i) x2-y2=cos2θ+2cos3θ+cos4θii) 2xy=sin2θ+2sin3θ+sin4θ

Q: Find sin 2x, cos 2x, and tan 2x if tanx=- 1 and x terminates in quadrant II. sin 2x %3D cos 2x %3D…

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Q: 9 If f(0) = cos 01 cos 02· cos 03 ... cos On + tan 0,}=- f (0) Show, {tan 0, + tan 02 + tan 03 +…

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Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

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Q: Find sin2x, cos2x, and tan 2x if cosx - and x terminates in guadrant III. 13 sin 2x cos 2x tan 2x

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Q: 2. What is the exact value of cos()? |(0, 1) (글,

A: Graph is symmetrical in -2 to 2. So the midline of function is y=0.

Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: A = -, find sin 2. If 90° <0 < 180° and cos 0 :

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Q: 4 5 Points ntegral of sin-cos-sin0 de has the form (e) +C. What should be the value of e =0?

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Q: 4. Evaluate et cos xdx.

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Q: Find sin cos 2 (3}))

A: We Have to solve above question

Q: Prove that v2 cos(20+45°) = cos e-2sin Ocos 0-sin 0, where 0 is measured in degrees.

A: *formula:- cos(A+B) = cosA*cosB - sinA*sinB. sin2A = 2sinA*cosA. cos2A = cos^2(A) - sin^2(A).

Q: 4 Find sin 2x, cos 2x, and tan 2x if sin x = and x terminates in quadrant II. 5 sin 2x = S ? cos 2x…

A:

Q: If x= cos n + cos 2n and y=sin n + sin 2n show that  2xy= sin 2n+2sin 3n+sin 4n

A: See the attachment

Q: 15 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in guadrant III. 17

A: Given that: sinx=−1517 To find: sin2x, cos2x, tan2x

Q: 2) Suppose tan 0 =7 and sin 0 <0. Compute sin 0 and cos 0. Exact answers are required.

A: Consider the given equation, tanθ=7 Since, there is sine negative and the value of tangent is…

Q: Express f (0) = cos 20 + 4(sin 20)² + 1 as a sum of powers of sin 0.

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

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Q: Suppose, z=-i+1.7 then, Find e-iz e(cos 1.7 +i sin 1.7) e(cos 1.7 - i sin 1.7) (cos 1.7 - i sin 1.7)…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1 Find sin 2.x, cos 2x, and tan 2x if and x terminates in guadrant IV. 10 cosx=

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Q: 15 Suppose that tan a = TC <a<t. 2 and - Find the exact values of cos and tan 2 - JT Cos Undefined…

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Q: 8 and x terminates in guadrant IV. 15 Find sin 2x, cos 2x, and tan 2x if tanx %3D

A: Given  tanx=-815,  x in quadrant IV

Q: (i) Prove that sec 3x(sin 3x-2sin' 3x)= tan 3xcos 6x. (ii) Hence find, for 0s.xs, the values of x in…

A: Trigonometric equation

Q: 15 Find sin 2x, cos 2x, and tan 2x if cos.xr= and x terminates in quadrant IV. 17 sin 2x cos 2x !!…

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Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

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Q: 4 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in guadrant III.

A:

Q: 1. Show that | sin x cos3 x dx = sin® x sin x +C = - 8. cos*x, cosx cosx +C 3

A: To prove:-

Q: 12. Write an éxpression that gives all sölutions to the equation. COS X - SIn x 3= 2.

A:

Q: 5) prove that = sin 'x +e using method of trigonometric substitution.

A: To Prove- Prove that ∫dx1 - x2 = sin-1x + c using method of trigonometric substitution.

Q: see attachment

A: Since tan x = 1/2 and tan x=opposite/adjacent Let opposite = -1 [because of third quadrant]adjacent…

Q: 12. sin 2t – tan t = tant cos 2t - HINT: You will use a reciprocal identity.

A: use the formula

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

A: Given cos x = 1517 and x terminates in quadrant Iwe find Sin 2x , Cos 2x, tan 2xwe know that in…

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

A:

Q: 9 Suppose that a cos x = 1 + sin x, where 0° < x < 90°. a a Prove that 1 = t, where t = tan x. a + 1…

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Q: Suppose that π/2≤θ≤π, sin(θ)=2/9, find cos(θ)=______. (round to 3 decimal places)

A: Here, θ is in the second quadrant( π/2≤θ≤π) and cosine is negative in the second quadrant.