If tan35° = y, then (tan145° - tan125°) / (1 + tan145°tan125°) =

Q: Show that i + (±)³ + x 0 has no periodic solution.

A: Given: To show that the given   has no periodic solution.

Q: 1. Find the general solution of y'= cos²xcosy

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Q: 1 1 Prove arccos x arccos (3x 4a*) = for 2' 2

A: *concept:- use formula of cos(3¥) = 3cos¥ - 4cos^3(¥)

Q: Thus, the graph of f(x) = 4 cos(X) (x, y) = ( ) (smallest x-value) (х, у) %3D ( (x, y) = ( )…

A: We will find the points as shown below

Q: 4. Sketch a graph of y = -2 cos 2 for-2x SxS2n. v List 3 points below.

A: The given function is: The general form of the cosine function is: where, |a| represents the…

Q: Draw the periodic function f(x) of period 2n where -T< I <0 f(x) %3D

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Q: 6/155) cos 0, 1+ cos 29

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Q: 2. Sketch a graph of y = cos x and y = − cos(2x − n) + 1 for 1 full cycle. -

A: What is a Cycle: Cycle is important in trigonometric functions. When a trigonometric function…

Q: 1- , S" cos(x)esin(x)-8y dydx

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 16. Use Theorem 12 to show that 2n r=0

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Q: Show that cos6x = cos 2x (4cos22x-3)

A: Objective of the question is to prove the following- cos6x=cos2x4cos22x-3 Given equality can be…

Q: 1-[t2 cos at

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Q: 3. Draw the graphs of: y = 2 sin (2x) y = 3 cos (.5x) a.) b.) c.) y = tan(2x)

A: (a) Sketch the graph as shown below.

Q: 6) What is the period of the function f(x) = 7sin(2x) – cos(5)? Is the function g(x) = 7xsin(2x) –…

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Q: 7. Compute •+∞ COS X x¹ + x² + 1 -dx.

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Q: ди ди 1. find az and " if z = 5 tan-1(x)and x eu + In(v) at the point (In2,1) %3D dv

A: Using chain rule.

Q: [5] Determine the y(2021) of y=cos²

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Q: 5. If the functions y = sin x and y = cos x are both subjected to a horizontal compression by , and…

A: y=sinx is subjected to compression by 13 y1=sin3x Then taking reflection in x-axis y2=-sin3x

Q: 3. Show that the equation 1 + cos(x) – 2sin(=) = 0 has a solution in the interval [0, 7 /2].

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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: Find L {(2- t) (5 cos 3t 1)}. - 5(s²+9) (s² –9)² 10s - 82-9 5(s2-9) 10s - - s2 s2+9 (s²+9)² 10 82…

A: As we know from the Laplace transformation; 1). La·ft+b·gt=a·Lft+b·Lgt 2). Ltnft=-1ndndsnLft And…

Q: 5. 1-cos2y 1+cos2y dy

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Q: Find sun alpha and tan alpha if the terminal side of alpha lies along the line y=-8x in Q2

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Q: Find L {(2- t) (5 cos 3t - 1)} - 1)} 5(s² +9) 10s s2-9 (s2 –9)² 5(s²-9) 1 2 s2 10s s2+9 (s²+9)² 2. 1…

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Q: Let sin A = 3/5 with A in QI and cos B = −5/13 with B in QIII. Find: Group of answer choices tan A…

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Q: - IF z = tan2 -1 y Show that x- ây

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Q: Differentiate y=excos(x2): y'= A. excos(x2)-2xsin(x2) B. -2xexsin(x2) C. ex(cos(x2)-2xsin(x2))…

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Q: 9 If f(0) = cos 0, cos 02 cos 03 ..... cos 0n %3D Show, {tan 0, + tan 02 + tan 03 + ......... + tan…

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Q: Suppose that cos 8 = 5/13 and 3T/2 < 0 < 2n. (a) Compute sin 0. (b) Compute cos 20 Hint: cos 20 =…

A: ANSWER :

Q: 6xsec 3x 2-If y = (tan3x)" prove that = (tan3x)²"| + 2ln(tan3x) %3D %3! tan3x

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Q: Prove the reduction formula: cos" xdx : 1 -cos"- 1-1 x+ cos"-2 xdx %3D -

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Q: ,2 Compute x² cos(x³ + 3) dx

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Q: 1-cos 5x cOS lim 6x

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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: - Find all solutions for 4 cos x+V3 = 2 cos x if 0<x<2n. %3D

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Q: Graph the equations 1. y= x²+4x+3/2x²+3x+1 2. y²= x+3/2x²+3x+2 3. r= sin 0+ 2cos²0 4. r²= sin2 0 -…

A: Note: It is assumed that questions 3, 4 are the functions of r and θ.   Any point on the Cartesian…

Q: 5-Find the avea between the curve y= tann the n-anis and from n=-1/4

A: This question is related to area under curves , we will use integeration to solve this problem

Q: Find all exact solutions on  [0, 2π).   2 cos2(t) + cos(t) = 1

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Q: 2.3: Determine the spectra of the signals: (a) x(n) = cos/₂ (b) x(n) = Cos kn/3 (C) x(n) has period…

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Q: 2x Cos 23 find diy %3D

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Q: find a particular solution of y"-9y=-6 cos3x *

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Q: Find all solutions of cos 2x V3 for x if 0 < x < 27. 2

A: on solving this we get the

Q: 1- By using simple Iteration method, find one root of the following equation: b- e* * tan x = e-3n/2…

A: The iteration method uses the formula, xn+1=ϕ(xn) to perform the iteration.

Q: Suppose f(x) =cos ( 3x – 2). Evaluate: A -3sin(3x - 2)+C ® -sin(3x- 2) + C sin(3x – 2) +C 3sin( 3x –…

A: Given function f(x) = cos(3x-2)

Q: 1. If y = cos(2t + 5) find using chain rule dt

A: Giveny=cos(2t+5)

Q: 4/ A) Find lim cos(- 19-3 sec 2t°

A: substitute  the value of t for finding the limit.

Q: 4.) Ž(1-sin1)* k=0 codh bs nohsrmotru betroupon or to lla bnit: I- 0pibcipojn BwGr p odmgon: 5.) n=2

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Q: cos( 2 tan1 (x/ 4)) = Select one: O 2x ( 16 - x2 )0.5 / ( 2x2 - 16 ) O 2x ( 16 - x2 )0.5/ ( 16 - 2x2…

A: Solution:-.