If tan(θ)=7tan(θ)=7 then tan(θ+3π)tan(θ+3π) = and tan(θ−7π)tan(θ-7π) =

Q: Suppose that x = cos 0 . Find an expression for sin 0 in terms of a 9 4 z2 6,

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Q: snip

A: Inverse trigonometric function are the inverse function of specially sine ,tangent, secant,…

Q: show that cos 6x = cos 2x (4cos2 2x-3)

A: Given,           To prove: cos 6x = cos 2x (4cos2 2x-3)

Q: Find the root of 1+ tanh x - 2 tan x = 0.

A: We find the root of  1+tanh(x)-2tan(x)=0 , by Newton's method.

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

A: Use the fact that in second quadrant cos and tan are negative.

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: 2. 1.5 sin(3t-

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Q: Find sin 2x, cos 2x, and tan2x if tanx = and x terminates in guadrant II. sin 2x ? cos 2.x tan 2x…

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Q: (a) f(x) =cos (7æ) cos (Tx) 3

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Q: cos(4x) – cos(8x) tan(2x) tan(6x) cos(4x)+ cos(8x)

A: We have to proof

Q: The minimum value of cos x + 3 sin x + 5 is: - V10e A 5 - V10- в 5+ V10 D -5 - V10

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Q: 2. 5. xcos x (sin'x - 2sin'x + sin°x)(cosx)

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Q: ) 3cos2(x) − 4cos(x) + 1 = 0 over [0,2π) 4) Solve tan 2x = −1 over [0,2π)   Note: Please answer…

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Q: 2. Estimate cos (– 0.1) + cos 4

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

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: 2dx 2 2 cos x√ 4tanx - tan x S-

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Q: Osl 2. 2Sin x- CosX+1 = 3 tan x 2 Cos?x

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Q: If tan then 1– 2 1+ z2 COS X 8 |N

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Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

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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: 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: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: Show that sin (2n + 1)z 2n +1 { 7/4 */4 0<まく

A: We will use complex analysis to solve the given infinite sum.

Q: Evaluate cos (x (x2 – 2x + 1) (2x - 2) sin (x 2 - 2x +1) (2 – 2x) sin (x? – 2x + 1) O (2x 2) cos (x-…

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Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

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

A: We have to solve above question and find sin cos and tan value

Q: x = -30°, cos 2x = 1 - 2 sin2 x 1 + 2 sin 2 x 1 - 2 sin 2 x 1 - 2 sin x 1 + 2 sin x

A: This question is based on Proving a Trigonometric equation.

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: 2. -1- -729630 -540 --450 –-360 270 -130 -90 90 130 270 360 450 5 40 6 -1- --2 -3- -5- y = 3 sin(x +…

A: The mid-line is the point of reference. So to find the mid line we have to find the average between…

Q: sin can be expanded to: sin 4 COS 2 cos - sin sin 2 O sin 4 sin -cos - + cos –sin 2 4 2 O sin + sin…

A: Given: sinπ4+π2 To find: expand the given trigonometric expression. The formula for…

Q: 3. 2 [sin 4 3x cos² 3xdx

A: 3. To evaluate the ∫sin43x cos23x dxFormula: (1) cos2x=1-sin2x(2) ∫sinn xdx=-1n sinn-1x cos x+n-1n…

Q: 8. The reason why cos²(x)-2=0, [-27,27] has no solution is because cos(x) is undefined for x =+ /2.…

A: Given that,  Cos^2(x) -2= 0 Cos^2(x) =2  Cos x= +-√2= +-(1.414)

Q: ind sin2x, cos 2x, and tan 2.x if tanx = -2 and x terminates in guadrant II. %3D sin 2x ? cos 2x tan…

A: In second quadrant sin is positive and cos &amp; tan are negative.

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) If y = 2√x - 2 tan-¹ √x, then y y' = -1 1+x²

A: Given :y=2x-2tan-1x

Q: اثبت صحة المتطابقة التالية Cos(2x) = 2Cos²(x) – 1

A: We know that . Cos(2x) = Cos2(x) - Sin2(x) .............(*)

Q: tan x e За. et 3b. cos“ x e* -7

A: PART A- Concept Used: secx=1cosx We want to evaluate ∫etanxcos2xdx Calculation:…

Q: у%3D sin(4x — 2) cos (4x + 2) || -

A: topic - derivative

Q: 2 tan(2x) − 4 cos(x) = 0

A: Explanation of the solution is given below.... And solve the given equation.....

Q: xp sin 5x cos 3xt cos 5xsin 3x xp x²+ 2x + 5 EX Find:

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Q: 2 Evaluate: [5 cos(5)x – 5 csc² (x) ] dx COS

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Q: Solve cos 2x + cos x = 0 for x if 0 < x < 2n

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Q: Prove that 3x Question 4 (i) sin(tan-(3x)) cos(tan-(3x)) = 1+ 9x² d 1 (ii)- sin-'(/) = dx 2a/1 – x

A: A detailed solution is given below.

Q: tan xdx cos 2x-7

A: To find the integration.

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: (1) f(x) = sin (5x + 6) (3) f(x) = sin(x-³) (2) f(x) = sin (3x4 + 2) (4) f(x) = cos (4+ 3x)

A: To find f'(x)

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

A: sin 2x= 2 sin x cos x cos 2x=1-2sin2x tan 2x=(sin 2x)/(cos 2x)

Q: Find sin 2x, cos 2x, and tan 2x if sinx= and x terminates in guadrant IV. sin 2x %3D cos 2x %3D tan…

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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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