12 If tan(@) 0Sos, then %3D sin(0) equals cos(0) equals sec(A) eguals

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

A:

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: tan e de (1+ In cos ele

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

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Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one…

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

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

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Q: dx of SC 1+ cos X

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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: 2. Estimate cos (– 0.1) + cos 4

A: As per given question  We have to solve above question

Q: Question 8 If we have to check the DE Sin(x) +y cos(x) =1 for Exact then M,--- dx -cos(x) sin(x)…

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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: 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: S 3. sin°ydy 1+ cosy

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Q: 1. [(10 cos2x - 5 csc2x +4 tan2x + 8 sin2x)dx

A: Integration properties help to find the integration of the given function. Integration property for…

Q: 15 Find sin 2x, cos 2x, and tan 2x if tan x= and x terminates in quadrant III. 8 sin 2x = S ? cos 2x…

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Q: 4 Find sin 2x, cos 2x, and tan 2x if tanx and x terminates in quadrant IV. 3 sin 2.x cos 2.x tan 2.x…

A: Given:- tan(x) =-4/3 To find:- value of sin(2x), cos(2x), tan(2x)

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: 1. y = In (3 – 4 cos x) + (4x – 5)5

A: 1). Given function is y=ln3-4cosx+4x-55. To find: dydx Solution: Power rule of differentiation…

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: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: dr de sin - r- cos + eª cos = 0

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Q: the sum of sin h 2x and cos h 2x

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Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

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Q: 5. | sin (Tx) cos (Tx) dx

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Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx=- and x terminates in quadrant II. 17 sin 2x cos 2x %3D…

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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: Expand sin(50) in powers of sin(0) and cos(0).

A: In this question we have to expand sin5θ in powers of sinθ and cosθ. we know,…

Q: If cos (alpha + beta ) = 0 , then sin (alpha - beta ) can be reduced to ?

A:

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

A:

Q: 1- cos(0) (d) de sin (0)

A: We have to find integration

Q: 4,5in3x =sinx S Sinx(sin?x-\= sin?x. Sinx(sinx-1). COS X tank (sin zx - COS tan-o TT

A:

Q: If ln sin x = 1 + ln cos x, then x is equal to what.

A: Given that , lnsinx=1+lncosx find value of x.

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…

A:

Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)

A: In both cases there is translation of graph.

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: 39. cos (T + x) 40. sin (2m- xr) 學一) 37T 42. cos 41. sin -

A:

Q: Cos (GX) = Cos 15°, 0°<x < 360° Со X) = Cos 15°, O° < x < 360° %3D Tan( x ) = tan,05x < 2n )= tan,

A: We can find the answers as below

Q: 2. If sin x cos x + sin 2x =1 what are the values of 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: Find sin 2' COS and tan 2 - 2' 1 and 0° < 0 < 90° cs 0 =

A:

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

A: 18)

Q: 2. cos(4x) = 1 – 8(sin(x))²(cos(x))²

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Q: 1. у%3 Sin 5x +1 2. y = cos 3. у 3 tan (7x-1)

A: 1st derivative of 1st 3 trigonometric function are :

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

A: Given that  cos x = 1517 and x terminates in quadrant I. We have to find  sin 2x, cos 2x, and tan…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.