1. Determine the sign (+ or -) that yields the correct formula for the following -(sinx + cos x) =+ sin x+ cos x (a) dx - sec x =+ sec x tan x dx (b) - cot x =+ csc?x (c) dx

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) 12 x in Quadrant II %D sin(2x)…

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Q: 7 cos?(x) sin(2x) dx

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

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Q: 4. If cos(x) = -, and x lies in the 3rd quadrant, find tan(). -2 2.

A: Given query is to find the value of indicated function.

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

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Q: 10. Find the exact value of cos 2x given that cos x =

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Q: 2. Find cos x and cot x if sin x = 1/4 and tan x< 0.

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Q: 2 cos @ dӨ . 1- sin 0

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Q: /49-x² dx when converted to e is 7 sin ? 0 cos' 0 de

A: Proper substitution is needed to check it

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

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Q: 3. If cos x =- Find the sin x and tan x in the interval 13 XE

A: Given:        cosx=-513  we know that                      cosx=adjacenthypotenuse…

Q: 16. Calculate (sin 0 , 0 , cos 20) d0.

A: ∫0π&lt; sinθ,θ,cos 2θ&gt;dθ

Q: 7/4 Find the value of sin(2x) sin(x) dx.

A: First i have made a substitutionso that integral become easy and then integrate them and find the…

Q: The value of (cos*x sin xdx а. 0

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Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: Given equation is sinx=1. To find the exact value of x in the interval 0,4π using the graph.…

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: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

Q: 15 cos(x) + 4 sec (x)dx

A: 1) I=∫15 cosx+4 sec2xdx =15∫cosx dx+4∫sec2x dx =15 sinx+4 tanx+c   (c- constant if integration)

Q: B) 1- Given that a sin %3D Find cos x,tan x, cot x, sec x and csc x ?

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Q: -- cos( sin-!x) + C 1-x² A True B) False

A: SOLUTION-

Q: 2. Apply the properties of even and odd functions to find the exact va a. sin(-120°) (-#) c. sin…

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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: | cos ?x sin'x dx can be evaluated by factoring sin'x as (sin²x) ²sinx and transf sin²x into 1-…

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Q: 2. Find the exact value a. sin'' -1/2 b. arccos - с. tan-1(tan - )

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Q: If x=3 sin 0 (where 0<0<), then cos 0+9 tan 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: How do you solve this and can you show me step by step?

A: Given equation is

Q: 37. 2(cos x)-/2 sin x dx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 2. Write –2 cos x – 3 sin x in the form R cos(x – a) with -7 < a < T. Round to three decimal places.

A: Answer is given in asked form.

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

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

Q: 3. If cos x = 5 Find the sin x and tan x in the interval 13 xe 1]? X€ ,π

A: Given that: cosx=-513and x∈π2, π

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = // 1₁ x in Quadrant I…

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Q: 元) D let cos x Let and Cosx lies below the x axis Ę Find sin (2x), Cos(2x) and tan (2x).

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Q: 2. Find cos x and cot x if sin x = 1/4 and tan x < 0.

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Q: 1. cos x |? ecosx sin xdx

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

Q: 47. Show that y = sin(tan-x+ C) is the general solution of y' = /1 – y²/(1+x²). Then use the…

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

A: Introduction :

Q: Find the values of θ between 0° and 360° such that: sin θ = 0.8

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Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

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

A: #1 intregal

Q: 10. Solve the equation for x if 0 < x < 2n. 2 sin x - cot x = csC X

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

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Q: 10. Evaluate cos x sin² x dx

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Q: 1. Match th A. Sin В. Cos С. Tan

A: As per the guideline i can answer only first question for you, more than one answer leads me towards…

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: 18. The value of sin (7 +2) is equal to sin a cos z cos z - sin r

A: 18)

Q: cos 4x-1 dx is equal to cot x-tan x

A: Introduction :

Q: 5. If x = 3tan 0, find sin e in terms of x.

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Q: Find sin 0 given that tan e= and cos e> 0. 2-2 0 2 O-2/3 1/3

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