If sin (0) = –0.6 and sec (0) < 0, then tan (0) is: %3D O a) 을 O b) { Oc) - O d) 3 4/3

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: 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: Find sin e and cos e if the terminal side of 0 lies along the line y = 3x in QI. sin e - cos 8

A: Given: The equation of the line is, y=3x. The objective is to find the value of sinθ and cosθ.

Q: 2. If tan x = Find the sin x and cos x in the interval xe [n. : XE T,

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Q: 2 Given tan 0 = -and sin 0 > 0, find cos 0. %3D Cos 0 _ 3/13 13 О А. O B. cos O 0 = 3/13 COS %3D 13…

A: The given data is: tan θ= -23  and  sin θ&gt; 0

Q: tan 0 de equals to : 1+sece In |1+tane|+c In |1+sece|+c O (tane)^2/2+c -In |1+cose|+c

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Q: 2- tan x dx Can be calculated if n: A. n= T/4 В. п/2 С.-п/2.

A: ∫0ntanxdx

Q: express sin 0 and cos 0 in terms of t. 2 6. By using t = tan Hence,

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

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: (-1) cos[cosh (In ")]dr 4.

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Q: is a root of the equation y2 + ycot x cos x - 1 = 0

A: Here we have to show that, y = sin x is a root of the equation y2 + ycot x cos x - 1 = 0

Q: 口 | 1. What is the frequency of the periodic function 5 sin() f(x) = %3D 3.

A: Given Data: Equation: fx=5sin3θ49 ......1 The general equation of the sinusoidal function.…

Q: sin 2x, Which of the following is equal to sin x cOs x + C 2 sin x + C Option 1 Option 2 sin 2x + C…

A: As we know that the trigonometric identity: sin2x=2sinxcosx And ∫a·fxdx=a∫fxdx Given: I=∫sin2xsinxdx

Q: If k0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to [−sin(kx) + sin³(kx)] + C the…

A: To evaluate the integral.

Q: 1. Use the Intermediate Value Theorem to show that there is the solution to the equation cos(x)=x in…

A: Given cosx=x

Q: If tan then 1– 2 1+ z2 COS X 8 |N

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Q: 2x, given tan x= 2 and cos x is less than 0

A: Given tan x = 2 and cos x &lt; 0.

Q: what is y' of y=sin-1(cos x)

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Q: Evaluate (cos x In sin x) dx. Select the correct response: O cos x (In sin x-1) +C sin x (In cos…

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

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Q: If x=3 sin 0 (where 0<0<), then cos 0+9 tan 0 =

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Q: if g- Sin (cos 8x) Find y NP

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Q: COS x (5) dx (1+ sin x)5

A: ∫cosx(1+sinx)5dx

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

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

Q: Show that the two formulas are equivalent                                                      ∫tan…

A: To show that ∫tanx dx=-lncosx+C and ∫tanx dx=lnsecx+C both formula are equivalent. We know that…

Q: Find sin 2x, cos 2x, and tan 2x if sin x= sin 2x = cos 2x = = tan 2x 010 X 1 and x terminates in…

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Q: Prove that: cos(nx) - cos(na) cos(x) – cos(a) sin(na) sin(a) dx = n neN, a ER - {0}

A: To solve this question take different values of n and calculate LHS and RHS separately.     if…

Q: 5- ft2 cost dt n/2 6- sin? 20 cos 20 de

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

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Q: 1) Using the formula: cos(x +y) = cos x cos y - sin x sin y, prove in steps that: cos? x = %3D 1+cos…

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Q: If S(x) = - cos(x), then s ()(x) is equal to A – sin(x) - cos(x) В sin(x) cos(x)

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

Q: 2. Suppose tan x = 3 -- with < x < 2n. Find the exact value of cos ). Show you work carefully. ensem…

A: Given problem:- tan(x) =-4/3 with 3π/2 &lt;x&lt; π To find:- Exact value of cosx2)

Q: 1) Using the formula: cos(x +y) = cos x cos y – sin x sin y, prove in steps that: cos? x = 1+cos 2 x

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Q: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

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Q: 5) coS I sin rdr

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Q: 2) Find the exact simplified value of tan 2, () 3m sin 0 where n s0<4 2.

A: Given

Q: Derive a formula for ſ tan x sec "x dx where n 40

A: Integration problem....

Q: Is this: sin x cos y- cos x sin y/ cos x sin y reciprocal quotient pythagoreom  algebra

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Q: 9. Prove that | sin n0/sin 0| <n, limiting values being used when sin e = 0.

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Q: tan y = In 2 + e"

A: Given : tany = ln2x2+e-xy

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) %D…

A: Given that cosecx=6 , tanx&lt;0find out the value of sin2x, cos2x and tan2x

Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.)…

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: 1) Using the formula: cos(x + y) = cos x cos y – sin x sin y, prove in steps that: cos? x = %3D…

A: Note - Since you have posted multiple questions, I am answering first one for you as per the…

Q: 3. If tan(a-iß) = x- iy , show that x? + y?-2ycoth2B = -1

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 3 sin(2x) =D…

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Q: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +

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